- published: 17 Jul 2014
- views: 5481
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This is the second half of a lesson, watch the first half here: http://youtu.be/yudhkUUzAgY
This is a well-known and hugely controversial result. The "proof" I've demonstrated is not the only way to show it - there are far more sophisticated and convincing ways to do it - but suffice to say that I went through it to raise questions and provoke thought rather than to make a statement about its validity or otherwise! Hope it makes you think.
Why does Alex Clark, from the University of Leicester, have a strange fascination with 163?
Some slightly more advanced stuff in this video, including the Ramanujan Constant and its use in a "famous" April Fool's joke.
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Videos by Brady Haran
- published: 02 Mar 2012
- views: 518281
This extra footage with Barry Mazur follows on from: http://youtu.be/_qvp9a1x2UM
Barry's book on this: http://bit.ly/RootMinusFifteen
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos by Brady Haran
Support us on Patreon: http://www.patreon.com/numberphile
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
A run-down of Brady's channels: http://www.bradyharan.com
Sign up for (occasional) emails: http://eepurl.com/YdjL9
- published: 25 Feb 2015
- views: 37291
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities:
- Chapter markers and keywords to watch the parts of your choice in the video
- Videos enriched with abstracts, bibliographies, Mathematics Subject Classification
- Multi-criteria search by author, title, tags, mathematical area
In parallel to the Gross-Kohnen-Zagier theorem, Zagier proved that the traces of the values of the j-function at CM points are the coefficients of a weakly holomorphic modular form of weight 3/2. Later this result was generalized in different directions and also put in the context of the theta correspondence. We recall these results and report on some newer aspects.
Recording during the thematic meeting: ''Automorphic forms: advances and applications'' the May 27, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
- published: 03 Aug 2015
- views: 85
Abstract: The Gross-Zagier formula relates the heights of Heegner points on elliptic curves over Q to derivatives of L-functions ; together with the work of Kolyvagin, it implies the rank part of the Birch and Swinnerton-Dyer conjecture for curves whose L-function vanishes to order one, as well as the BSD conjectural formula up to a rational number. One way to go on and study the formula up to p-integrality is provided by the p-adic analogue of the Gross-Zagier formula proved by Perrin-Riou and Kobayashi. I will review this circle of ideas and discuss its generalisation to totally real fields.
The lecture was held within the framework of the Junior Hausdorff Trimester
Program Algebraic Geometry. (6.2.2014)
- published: 14 Feb 2014
- views: 425
Sheldon tells the gang why the number 73 is the best number around. I cut this video for my mom, who is a math teacher and the subject has forever contaminated her brain...love you, mom! :)
I hold no copyright over the contents of this video!
- published: 11 Dec 2010
- views: 230552
International Conference in Number Theory and Physics
Mini Course - Prof. Ingmar Saberi Caltech, USA
Class 2
The Physics and Number Theory of the A-polynomial The zero locus of the A-polynomial defines an algebraic curves that, via generalized volume conjecture, connects standard quantum group invariants with complex Chern-Simons theory. This connection predicts many new number theoretic properties of the A-polynomial and explains familiar ones (e.g. the quantizability condition and the K-theory constraint in the joint work with P.Sulkowski).
Página:
http://www.impa.br/opencms/pt/eventos/store_old/evento_1504
Download dos vídeos:
http://video.impa.br/index.php?page=international-conference-in-number-theory-and-physics
This school and conference aims to bring together mathematicians (from number theory and algebraic geometry,…) and theoretical physicists (from Quantum Chaos, QFT and String Theory,…). The first week will be aimed at introductory minicourses and introductory lectures in several topics on Number Theory and Physics. And the second week will focus on research lectures and advanced level minicourses aimed at graduate students and researchers at all levels.
The main purpose of the school and conference is to bring together leading researchers in number theory and physics, to foster further mutually beneficial interaction between Number Theory and Physics.
The school will be made of a series of plenary lectures, short lectures and minicourses in different subjects on Number Theory and Physics. One of the aims of this school is to discuss the recent developments in a wide range of topics at the crossroads between Number Theory and Physics. The main topics to be covered in this conference are:
- Number Theory and Random Matrices
- Number Theory over Function Fields and Riemann Hypothesis for Curves
- Modular Forms, Mock Modular Forms and Generalizations
- String Theory, String dualities and automorphic forms
- Quantum Field Theory for Mathematicians and Number Theorists
- Quantum Chaos, Arithmetic Quantum Chaos and Number Theory
- Noncommutative Geometry in Number Theory and Physics
- Polylogarithms, Multiple Zeta Values and Pertubative Physics
- Mirror Symmetry, Calabi-Yau Manifolds and Zeta Functions
- Prime Numbers and recent developments
- AdS/CFT and arithmetic
IMPA - Instituto Nacional de Matemática Pura e Aplicada ©
http://www.impa.br | http://video.impa.br
- published: 01 Jul 2015
- views: 156
Plática dada por Yuri Tschinkel (New York University) dentro del Ciclo Perspectivas Matemáticas (http://www.matem.unam.mx/actividades/seminarios/perspectivas-en-matematicas/actividades) el martes 3 de marzo del 2015 en el Instituto de Matemáticas de la UNAM, CU.
- published: 04 Mar 2015
- views: 310
Heegner number
In number theory, a Heegner number is a square-free positive integer d such that the imaginary quadratic field Q(√−d) has class number 1. Equivalently, its ring of integers has unique factorization.
The determination of such numbers is a special case of the class number problem, and they underlie several striking results in number theory.
According to the Stark–Heegner theorem there are precisely nine Heegner numbers:
This result was conjectured by Gauss and proven by Kurt Heegner in 1952.
Euler's prime-generating polynomial
Euler's prime-generating polynomial
which gives (distinct) primes for n = 1, ..., 40, is related to the Heegner number 163 = 4 · 41 − 1.
Euler's formula, with 
taking the values 1,... 40 is equivalent to
with taking the values 0,... 39, and Rabinowitz proved that
gives primes for 
if and only if its discriminant 
equals minus a Heegner number.
(Note that 
yields 
, so 
is maximal.)
1, 2, and 3 are not of the required form, so the Heegner numbers that work are 
, yielding prime generating functions of Euler's form for 
; these latter numbers are called lucky numbers of Euler by F. Le Lionnais.
This page contains text from Wikipedia, the Free Encyclopedia -
http://wn.com/Heegner_number
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
This article is licensed under the Creative Commons Attribution-ShareAlike 3.0 Unported License, which means that you can copy and modify it as long as the entire work (including additions) remains under this license.
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8:52The sum of all counting numbers equals WHAT?
The sum of all counting numbers equals WHAT?The sum of all counting numbers equals WHAT?
This is the second half of a lesson, watch the first half here: http://youtu.be/yudhkUUzAgY This is a well-known and hugely controversial result. The "proof" I've demonstrated is not the only way to show it - there are far more sophisticated and convincing ways to do it - but suffice to say that I went through it to raise questions and provoke thought rather than to make a statement about its validity or otherwise! Hope it makes you think. -
11:30163 and Ramanujan Constant - Numberphile
163 and Ramanujan Constant - Numberphile163 and Ramanujan Constant - Numberphile
Why does Alex Clark, from the University of Leicester, have a strange fascination with 163? Some slightly more advanced stuff in this video, including the Ramanujan Constant and its use in a "famous" April Fool's joke. Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Videos by Brady Haran -
113:56Henri Darmon, Heegner points, Stark-Heegner points and explicit class field theory
Henri Darmon, Heegner points, Stark-Heegner points and explicit class field theoryHenri Darmon, Heegner points, Stark-Heegner points and explicit class field theory
-
2:08Elegant Confusion and Imaginary Numbers (extra footage) - Numberphile
Elegant Confusion and Imaginary Numbers (extra footage) - NumberphileElegant Confusion and Imaginary Numbers (extra footage) - Numberphile
This extra footage with Barry Mazur follows on from: http://youtu.be/_qvp9a1x2UM Barry's book on this: http://bit.ly/RootMinusFifteen NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Support us on Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ A run-down of Brady's channels: http://www.bradyharan.com Sign up for (occasional) emails: http://eepurl.com/YdjL9 -
52:18Jan Bruinier: Classes of Heegner divisors and traces of singular moduli
Jan Bruinier: Classes of Heegner divisors and traces of singular moduliJan Bruinier: Classes of Heegner divisors and traces of singular moduli
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, bibliographies, Mathematics Subject Classification - Multi-criteria search by author, title, tags, mathematical area In parallel to the Gross-Kohnen-Zagier theorem, Zagier proved that the traces of the values of the j-function at CM points are the coefficients of a weakly holomorphic modular form of weight 3/2. Later this result was generalized in different directions and also put in the context of the theta correspondence. We recall these results and report on some newer aspects. Recording during the thematic meeting: ''Automorphic forms: advances and applications'' the May 27, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent -
62:45Daniel Disegni: The p adic Gross Zagier formula on Shimura curves
Daniel Disegni: The p adic Gross Zagier formula on Shimura curvesDaniel Disegni: The p adic Gross Zagier formula on Shimura curves
Abstract: The Gross-Zagier formula relates the heights of Heegner points on elliptic curves over Q to derivatives of L-functions ; together with the work of Kolyvagin, it implies the rank part of the Birch and Swinnerton-Dyer conjecture for curves whose L-function vanishes to order one, as well as the BSD conjectural formula up to a rational number. One way to go on and study the formula up to p-integrality is provided by the p-adic analogue of the Gross-Zagier formula proved by Perrin-Riou and Kobayashi. I will review this circle of ideas and discuss its generalisation to totally real fields. The lecture was held within the framework of the Junior Hausdorff Trimester Program Algebraic Geometry. (6.2.2014) -
1:00The Big Bang Theory - #73
The Big Bang Theory - #73The Big Bang Theory - #73
Sheldon tells the gang why the number 73 is the best number around. I cut this video for my mom, who is a math teacher and the subject has forever contaminated her brain...love you, mom! :) I hold no copyright over the contents of this video! -
46:26Yuri Manin - Numbers as functions
Yuri Manin - Numbers as functions -
62:39International Conference in Number Theory and Physics - Mini Course - Saberi - 02
International Conference in Number Theory and Physics - Mini Course - Saberi - 02International Conference in Number Theory and Physics - Mini Course - Saberi - 02
International Conference in Number Theory and Physics Mini Course - Prof. Ingmar Saberi Caltech, USA Class 2 The Physics and Number Theory of the A-polynomial The zero locus of the A-polynomial defines an algebraic curves that, via generalized volume conjecture, connects standard quantum group invariants with complex Chern-Simons theory. This connection predicts many new number theoretic properties of the A-polynomial and explains familiar ones (e.g. the quantizability condition and the K-theory constraint in the joint work with P.Sulkowski). Página: http://www.impa.br/opencms/pt/eventos/store_old/evento_1504 Download dos vídeos: http://video.impa.br/index.php?page=international-conference-in-number-theory-and-physics This school and conference aims to bring together mathematicians (from number theory and algebraic geometry,…) and theoretical physicists (from Quantum Chaos, QFT and String Theory,…). The first week will be aimed at introductory minicourses and introductory lectures in several topics on Number Theory and Physics. And the second week will focus on research lectures and advanced level minicourses aimed at graduate students and researchers at all levels. The main purpose of the school and conference is to bring together leading researchers in number theory and physics, to foster further mutually beneficial interaction between Number Theory and Physics. The school will be made of a series of plenary lectures, short lectures and minicourses in different subjects on Number Theory and Physics. One of the aims of this school is to discuss the recent developments in a wide range of topics at the crossroads between Number Theory and Physics. The main topics to be covered in this conference are: - Number Theory and Random Matrices - Number Theory over Function Fields and Riemann Hypothesis for Curves - Modular Forms, Mock Modular Forms and Generalizations - String Theory, String dualities and automorphic forms - Quantum Field Theory for Mathematicians and Number Theorists - Quantum Chaos, Arithmetic Quantum Chaos and Number Theory - Noncommutative Geometry in Number Theory and Physics - Polylogarithms, Multiple Zeta Values and Pertubative Physics - Mirror Symmetry, Calabi-Yau Manifolds and Zeta Functions - Prime Numbers and recent developments - AdS/CFT and arithmetic IMPA - Instituto Nacional de Matemática Pura e Aplicada © http://www.impa.br | http://video.impa.br -
57:21Geometry of numbers (Yuri Tschinkel)
Geometry of numbers (Yuri Tschinkel)Geometry of numbers (Yuri Tschinkel)
Plática dada por Yuri Tschinkel (New York University) dentro del Ciclo Perspectivas Matemáticas (http://www.matem.unam.mx/actividades/seminarios/perspectivas-en-matematicas/actividades) el martes 3 de marzo del 2015 en el Instituto de Matemáticas de la UNAM, CU.
-
The sum of all counting numbers equals WHAT?
This is the second half of a lesson, watch the first half here: http://youtu.be/yudhkUUzAgY This is a well-known and hugely controversial result. The "proof" I've demonstrated is not the only way to show it - there are far more sophisticated and convincing ways to do it - but suffice to say that I went through it to raise questions and provoke thought rather than to make a statement about its validity or otherwise! Hope it makes you think. -
163 and Ramanujan Constant - Numberphile
Why does Alex Clark, from the University of Leicester, have a strange fascination with 163? Some slightly more advanced stuff in this video, including the Ramanujan Constant and its use in a "famous" April Fool's joke. Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Videos by Brady Haran -
Henri Darmon, Heegner points, Stark-Heegner points and explicit class field theory
-
Elegant Confusion and Imaginary Numbers (extra footage) - Numberphile
This extra footage with Barry Mazur follows on from: http://youtu.be/_qvp9a1x2UM Barry's book on this: http://bit.ly/RootMinusFifteen NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Support us on Patreon: http://www.patreon.com/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ A run-down of Brady's channels: http://www.bradyharan.com Sign up for (occasional) emails: http://eepurl.com/YdjL9 -
Jan Bruinier: Classes of Heegner divisors and traces of singular moduli
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, bibliographies, Mathematics Subject Classification - Multi-criteria search by author, title, tags, mathematical area In parallel to the Gross-Kohnen-Zagier theorem, Zagier proved that the traces of the values of the j-function at CM points are the coefficients of a weakly holomorphic modular form of weight 3/2. Later this result was generalized in different directions and also put in the context of the theta correspondence. We recall these results and report on some newer aspects. Recording during the t... -
Daniel Disegni: The p adic Gross Zagier formula on Shimura curves
Abstract: The Gross-Zagier formula relates the heights of Heegner points on elliptic curves over Q to derivatives of L-functions ; together with the work of Kolyvagin, it implies the rank part of the Birch and Swinnerton-Dyer conjecture for curves whose L-function vanishes to order one, as well as the BSD conjectural formula up to a rational number. One way to go on and study the formula up to p-integrality is provided by the p-adic analogue of the Gross-Zagier formula proved by Perrin-Riou and Kobayashi. I will review this circle of ideas and discuss its generalisation to totally real fields. The lecture was held within the framework of the Junior Hausdorff Trimester Program Algebraic Geometry. (6.2.2014) -
The Big Bang Theory - #73
Sheldon tells the gang why the number 73 is the best number around. I cut this video for my mom, who is a math teacher and the subject has forever contaminated her brain...love you, mom! :) I hold no copyright over the contents of this video! -
-
International Conference in Number Theory and Physics - Mini Course - Saberi - 02
International Conference in Number Theory and Physics Mini Course - Prof. Ingmar Saberi Caltech, USA Class 2 The Physics and Number Theory of the A-polynomial The zero locus of the A-polynomial defines an algebraic curves that, via generalized volume conjecture, connects standard quantum group invariants with complex Chern-Simons theory. This connection predicts many new number theoretic properties of the A-polynomial and explains familiar ones (e.g. the quantizability condition and the K-theory constraint in the joint work with P.Sulkowski). Página: http://www.impa.br/opencms/pt/eventos/store_old/evento_1504 Download dos vídeos: http://video.impa.br/index.php?page=international-conference-in-number-theory-and-physics This school and conference aims to bring together mathematicians (... -
Geometry of numbers (Yuri Tschinkel)
Plática dada por Yuri Tschinkel (New York University) dentro del Ciclo Perspectivas Matemáticas (http://www.matem.unam.mx/actividades/seminarios/perspectivas-en-matematicas/actividades) el martes 3 de marzo del 2015 en el Instituto de Matemáticas de la UNAM, CU.
The sum of all counting numbers equals WHAT?
- Order: Reorder
- Duration: 8:52
- Updated: 17 Jul 2014
- views: 5481
This is the second half of a lesson, watch the first half here: http://youtu.be/yudhkUUzAgY
This is a well-known and hugely controversial result. The "proof" I...
This is the second half of a lesson, watch the first half here: http://youtu.be/yudhkUUzAgY
This is a well-known and hugely controversial result. The "proof" I've demonstrated is not the only way to show it - there are far more sophisticated and convincing ways to do it - but suffice to say that I went through it to raise questions and provoke thought rather than to make a statement about its validity or otherwise! Hope it makes you think.
wn.com/The Sum Of All Counting Numbers Equals What
This is the second half of a lesson, watch the first half here: http://youtu.be/yudhkUUzAgY
This is a well-known and hugely controversial result. The "proof" I've demonstrated is not the only way to show it - there are far more sophisticated and convincing ways to do it - but suffice to say that I went through it to raise questions and provoke thought rather than to make a statement about its validity or otherwise! Hope it makes you think.
- published: 17 Jul 2014
- views: 5481
163 and Ramanujan Constant - Numberphile
- Order: Reorder
- Duration: 11:30
- Updated: 02 Mar 2012
- views: 518281
Why does Alex Clark, from the University of Leicester, have a strange fascination with 163?
Some slightly more advanced stuff in this video, including the Ra...
Why does Alex Clark, from the University of Leicester, have a strange fascination with 163?
Some slightly more advanced stuff in this video, including the Ramanujan Constant and its use in a "famous" April Fool's joke.
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Videos by Brady Haran
wn.com/163 And Ramanujan Constant Numberphile
Why does Alex Clark, from the University of Leicester, have a strange fascination with 163?
Some slightly more advanced stuff in this video, including the Ramanujan Constant and its use in a "famous" April Fool's joke.
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Videos by Brady Haran
- published: 02 Mar 2012
- views: 518281
Henri Darmon, Heegner points, Stark-Heegner points and explicit class field theory
- Order: Reorder
- Duration: 113:56
- Updated: 02 Oct 2014
- views: 382
- published: 02 Oct 2014
- views: 382
Elegant Confusion and Imaginary Numbers (extra footage) - Numberphile
- Order: Reorder
- Duration: 2:08
- Updated: 25 Feb 2015
- views: 37291
This extra footage with Barry Mazur follows on from: http://youtu.be/_qvp9a1x2UM
Barry's book on this: http://bit.ly/RootMinusFifteen
NUMBERPHILE
Website: http...
This extra footage with Barry Mazur follows on from: http://youtu.be/_qvp9a1x2UM
Barry's book on this: http://bit.ly/RootMinusFifteen
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos by Brady Haran
Support us on Patreon: http://www.patreon.com/numberphile
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
A run-down of Brady's channels: http://www.bradyharan.com
Sign up for (occasional) emails: http://eepurl.com/YdjL9
wn.com/Elegant Confusion And Imaginary Numbers (Extra Footage) Numberphile
This extra footage with Barry Mazur follows on from: http://youtu.be/_qvp9a1x2UM
Barry's book on this: http://bit.ly/RootMinusFifteen
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
Videos by Brady Haran
Support us on Patreon: http://www.patreon.com/numberphile
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
A run-down of Brady's channels: http://www.bradyharan.com
Sign up for (occasional) emails: http://eepurl.com/YdjL9
- published: 25 Feb 2015
- views: 37291
Jan Bruinier: Classes of Heegner divisors and traces of singular moduli
- Order: Reorder
- Duration: 52:18
- Updated: 03 Aug 2015
- views: 85
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its f...
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities:
- Chapter markers and keywords to watch the parts of your choice in the video
- Videos enriched with abstracts, bibliographies, Mathematics Subject Classification
- Multi-criteria search by author, title, tags, mathematical area
In parallel to the Gross-Kohnen-Zagier theorem, Zagier proved that the traces of the values of the j-function at CM points are the coefficients of a weakly holomorphic modular form of weight 3/2. Later this result was generalized in different directions and also put in the context of the theta correspondence. We recall these results and report on some newer aspects.
Recording during the thematic meeting: ''Automorphic forms: advances and applications'' the May 27, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
wn.com/Jan Bruinier Classes Of Heegner Divisors And Traces Of Singular Moduli
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities:
- Chapter markers and keywords to watch the parts of your choice in the video
- Videos enriched with abstracts, bibliographies, Mathematics Subject Classification
- Multi-criteria search by author, title, tags, mathematical area
In parallel to the Gross-Kohnen-Zagier theorem, Zagier proved that the traces of the values of the j-function at CM points are the coefficients of a weakly holomorphic modular form of weight 3/2. Later this result was generalized in different directions and also put in the context of the theta correspondence. We recall these results and report on some newer aspects.
Recording during the thematic meeting: ''Automorphic forms: advances and applications'' the May 27, 2015 at the Centre International de Rencontres Mathématiques (Marseille, France)
Filmmaker: Guillaume Hennenfent
- published: 03 Aug 2015
- views: 85
Daniel Disegni: The p adic Gross Zagier formula on Shimura curves
- Order: Reorder
- Duration: 62:45
- Updated: 14 Feb 2014
- views: 425
Abstract: The Gross-Zagier formula relates the heights of Heegner points on elliptic curves over Q to derivatives of L-functions ; together with the work of Kol...
Abstract: The Gross-Zagier formula relates the heights of Heegner points on elliptic curves over Q to derivatives of L-functions ; together with the work of Kolyvagin, it implies the rank part of the Birch and Swinnerton-Dyer conjecture for curves whose L-function vanishes to order one, as well as the BSD conjectural formula up to a rational number. One way to go on and study the formula up to p-integrality is provided by the p-adic analogue of the Gross-Zagier formula proved by Perrin-Riou and Kobayashi. I will review this circle of ideas and discuss its generalisation to totally real fields.
The lecture was held within the framework of the Junior Hausdorff Trimester
Program Algebraic Geometry. (6.2.2014)
wn.com/Daniel Disegni The P Adic Gross Zagier Formula On Shimura Curves
Abstract: The Gross-Zagier formula relates the heights of Heegner points on elliptic curves over Q to derivatives of L-functions ; together with the work of Kolyvagin, it implies the rank part of the Birch and Swinnerton-Dyer conjecture for curves whose L-function vanishes to order one, as well as the BSD conjectural formula up to a rational number. One way to go on and study the formula up to p-integrality is provided by the p-adic analogue of the Gross-Zagier formula proved by Perrin-Riou and Kobayashi. I will review this circle of ideas and discuss its generalisation to totally real fields.
The lecture was held within the framework of the Junior Hausdorff Trimester
Program Algebraic Geometry. (6.2.2014)
- published: 14 Feb 2014
- views: 425
The Big Bang Theory - #73
- Order: Reorder
- Duration: 1:00
- Updated: 11 Dec 2010
- views: 230552
Sheldon tells the gang why the number 73 is the best number around. I cut this video for my mom, who is a math teacher and the subject has forever contaminated ...
Sheldon tells the gang why the number 73 is the best number around. I cut this video for my mom, who is a math teacher and the subject has forever contaminated her brain...love you, mom! :)
I hold no copyright over the contents of this video!
wn.com/The Big Bang Theory 73
Sheldon tells the gang why the number 73 is the best number around. I cut this video for my mom, who is a math teacher and the subject has forever contaminated her brain...love you, mom! :)
I hold no copyright over the contents of this video!
- published: 11 Dec 2010
- views: 230552
Yuri Manin - Numbers as functions
- Order: Reorder
- Duration: 46:26
- Updated: 04 Jun 2015
- views: 731
International Conference in Number Theory and Physics - Mini Course - Saberi - 02
- Order: Reorder
- Duration: 62:39
- Updated: 01 Jul 2015
- views: 156
International Conference in Number Theory and Physics
Mini Course - Prof. Ingmar Saberi Caltech, USA
Class 2
The Physics and Number Theory of the A-polynomial...
International Conference in Number Theory and Physics
Mini Course - Prof. Ingmar Saberi Caltech, USA
Class 2
The Physics and Number Theory of the A-polynomial The zero locus of the A-polynomial defines an algebraic curves that, via generalized volume conjecture, connects standard quantum group invariants with complex Chern-Simons theory. This connection predicts many new number theoretic properties of the A-polynomial and explains familiar ones (e.g. the quantizability condition and the K-theory constraint in the joint work with P.Sulkowski).
Página:
http://www.impa.br/opencms/pt/eventos/store_old/evento_1504
Download dos vídeos:
http://video.impa.br/index.php?page=international-conference-in-number-theory-and-physics
This school and conference aims to bring together mathematicians (from number theory and algebraic geometry,…) and theoretical physicists (from Quantum Chaos, QFT and String Theory,…). The first week will be aimed at introductory minicourses and introductory lectures in several topics on Number Theory and Physics. And the second week will focus on research lectures and advanced level minicourses aimed at graduate students and researchers at all levels.
The main purpose of the school and conference is to bring together leading researchers in number theory and physics, to foster further mutually beneficial interaction between Number Theory and Physics.
The school will be made of a series of plenary lectures, short lectures and minicourses in different subjects on Number Theory and Physics. One of the aims of this school is to discuss the recent developments in a wide range of topics at the crossroads between Number Theory and Physics. The main topics to be covered in this conference are:
- Number Theory and Random Matrices
- Number Theory over Function Fields and Riemann Hypothesis for Curves
- Modular Forms, Mock Modular Forms and Generalizations
- String Theory, String dualities and automorphic forms
- Quantum Field Theory for Mathematicians and Number Theorists
- Quantum Chaos, Arithmetic Quantum Chaos and Number Theory
- Noncommutative Geometry in Number Theory and Physics
- Polylogarithms, Multiple Zeta Values and Pertubative Physics
- Mirror Symmetry, Calabi-Yau Manifolds and Zeta Functions
- Prime Numbers and recent developments
- AdS/CFT and arithmetic
IMPA - Instituto Nacional de Matemática Pura e Aplicada ©
http://www.impa.br | http://video.impa.br
wn.com/International Conference In Number Theory And Physics Mini Course Saberi 02
International Conference in Number Theory and Physics
Mini Course - Prof. Ingmar Saberi Caltech, USA
Class 2
The Physics and Number Theory of the A-polynomial The zero locus of the A-polynomial defines an algebraic curves that, via generalized volume conjecture, connects standard quantum group invariants with complex Chern-Simons theory. This connection predicts many new number theoretic properties of the A-polynomial and explains familiar ones (e.g. the quantizability condition and the K-theory constraint in the joint work with P.Sulkowski).
Página:
http://www.impa.br/opencms/pt/eventos/store_old/evento_1504
Download dos vídeos:
http://video.impa.br/index.php?page=international-conference-in-number-theory-and-physics
This school and conference aims to bring together mathematicians (from number theory and algebraic geometry,…) and theoretical physicists (from Quantum Chaos, QFT and String Theory,…). The first week will be aimed at introductory minicourses and introductory lectures in several topics on Number Theory and Physics. And the second week will focus on research lectures and advanced level minicourses aimed at graduate students and researchers at all levels.
The main purpose of the school and conference is to bring together leading researchers in number theory and physics, to foster further mutually beneficial interaction between Number Theory and Physics.
The school will be made of a series of plenary lectures, short lectures and minicourses in different subjects on Number Theory and Physics. One of the aims of this school is to discuss the recent developments in a wide range of topics at the crossroads between Number Theory and Physics. The main topics to be covered in this conference are:
- Number Theory and Random Matrices
- Number Theory over Function Fields and Riemann Hypothesis for Curves
- Modular Forms, Mock Modular Forms and Generalizations
- String Theory, String dualities and automorphic forms
- Quantum Field Theory for Mathematicians and Number Theorists
- Quantum Chaos, Arithmetic Quantum Chaos and Number Theory
- Noncommutative Geometry in Number Theory and Physics
- Polylogarithms, Multiple Zeta Values and Pertubative Physics
- Mirror Symmetry, Calabi-Yau Manifolds and Zeta Functions
- Prime Numbers and recent developments
- AdS/CFT and arithmetic
IMPA - Instituto Nacional de Matemática Pura e Aplicada ©
http://www.impa.br | http://video.impa.br
- published: 01 Jul 2015
- views: 156
Geometry of numbers (Yuri Tschinkel)
- Order: Reorder
- Duration: 57:21
- Updated: 04 Mar 2015
- views: 310
Plática dada por Yuri Tschinkel (New York University) dentro del Ciclo Perspectivas Matemáticas (http://www.matem.unam.mx/actividades/seminarios/perspectivas-en...
Plática dada por Yuri Tschinkel (New York University) dentro del Ciclo Perspectivas Matemáticas (http://www.matem.unam.mx/actividades/seminarios/perspectivas-en-matematicas/actividades) el martes 3 de marzo del 2015 en el Instituto de Matemáticas de la UNAM, CU.
wn.com/Geometry Of Numbers (Yuri Tschinkel)
Plática dada por Yuri Tschinkel (New York University) dentro del Ciclo Perspectivas Matemáticas (http://www.matem.unam.mx/actividades/seminarios/perspectivas-en-matematicas/actividades) el martes 3 de marzo del 2015 en el Instituto de Matemáticas de la UNAM, CU.
- published: 04 Mar 2015
- views: 310
-
International Conference in Number Theory and Physics - Mini Course - Murthy - 04
International Conference in Number Theory and Physics Mini Course - Prof. Sameer Murthy (King's College) Class 4 Quantum Black Holes, Modular Forms and Mock Modular Forms In the quantum theory of black holes in superstring theory, the physical problem of counting the number of quarter-BPS dyonic states of a given charge has led to the study of Fourier coefficients of certain meromorphic Siegel modular forms and to the question of the modular nature of the corresponding generating functions. These Fourier coefficients have a wall-crossing behavior which seems to destroy modularity. In this mini-course I shall explain that these generating functions belong to a class of functions called mock modular forms. I shall discuss the physical consequences of this statement, and interesting mathema... -
Maryna Viazovska: CM values of regularized theta lifts
Abstract: In this talk we will discuss arithmetic properties regularized Petersson products between a holomorphic theta series associated to a positive definite binary quadratic form and a weakly holomorphic weight 1 modular form with integral Fourier coefficients. We prove that such a Petersson product is equal to the logarithm of a certain algebraic number lying in a ring class field associated to the binary quadratic form. Using the Gross-Zagier formula for local heights of Heegner poins we give an explicit factorization formula for this algebraic number. Finally, we will show that Petersson products of this kind are "building blocks" for CM-values of a wide class of regularized theta lifts. The lecture was held within the framework of the Junior Hausdorff Trimester Program Algebraic G... -
-
Class field theory for singular schemes over finite fields | Thomas Geisser | Лекториум
Class field theory for singular schemes over finite fields, Лектор: Thomas Geisser, Организаторы: -Математичеcкая лаборатория имени П.Л.Чебышева Смотрите это видео на Лекториуме: https://lektorium.tv/lecture/14633 A classical theorem states that the Galois group of the maximal abelian unramified extension of a number field is isomorphic to the class group of the number field. A similar statement holds for global fields of finite characteristic, giving the automorphism group of the maximal abelian etale covering of a smooth and proper curve.This has been generalized by Bloch and Kato-Saito to smooth and proper schemes of any dimension, and further generalized by Spiess-Schmidt to smooth schemes. We discuss a further generalization to arbitrary schemes. Другие курсы на эту тему доступны...
International Conference in Number Theory and Physics - Mini Course - Murthy - 04
- Order: Reorder
- Duration: 62:51
- Updated: 01 Jul 2015
- views: 41
International Conference in Number Theory and Physics
Mini Course - Prof. Sameer Murthy (King's College)
Class 4
Quantum Black Holes, Modular Forms and Mock M...
International Conference in Number Theory and Physics
Mini Course - Prof. Sameer Murthy (King's College)
Class 4
Quantum Black Holes, Modular Forms and Mock Modular Forms In the quantum theory of black holes in superstring theory, the physical problem of counting the number of quarter-BPS dyonic states of a given charge has led to the study of Fourier coefficients of certain meromorphic Siegel modular forms and to the question of the modular nature of the corresponding generating functions. These Fourier coefficients have a wall-crossing behavior which seems to destroy modularity. In this mini-course I shall explain that these generating functions belong to a class of functions called mock modular forms. I shall discuss the physical consequences of this statement, and interesting mathematical examples that arise from this construction. This is based on joint work with Atish Dabholkar and Don Zagier.
Página:
http://www.impa.br/opencms/pt/eventos/store_old/evento_1504
Download dos vídeos:
http://video.impa.br/index.php?page=international-conference-in-number-theory-and-physics
This school and conference aims to bring together mathematicians (from number theory and algebraic geometry,…) and theoretical physicists (from Quantum Chaos, QFT and String Theory,…). The first week will be aimed at introductory minicourses and introductory lectures in several topics on Number Theory and Physics. And the second week will focus on research lectures and advanced level minicourses aimed at graduate students and researchers at all levels.
The main purpose of the school and conference is to bring together leading researchers in number theory and physics, to foster further mutually beneficial interaction between Number Theory and Physics.
The school will be made of a series of plenary lectures, short lectures and minicourses in different subjects on Number Theory and Physics. One of the aims of this school is to discuss the recent developments in a wide range of topics at the crossroads between Number Theory and Physics. The main topics to be covered in this conference are:
- Number Theory and Random Matrices
- Number Theory over Function Fields and Riemann Hypothesis for Curves
- Modular Forms, Mock Modular Forms and Generalizations
- String Theory, String dualities and automorphic forms
- Quantum Field Theory for Mathematicians and Number Theorists
- Quantum Chaos, Arithmetic Quantum Chaos and Number Theory
- Noncommutative Geometry in Number Theory and Physics
- Polylogarithms, Multiple Zeta Values and Pertubative Physics
- Mirror Symmetry, Calabi-Yau Manifolds and Zeta Functions
- Prime Numbers and recent developments
- AdS/CFT and arithmetic
IMPA - Instituto Nacional de Matemática Pura e Aplicada ©
http://www.impa.br | http://video.impa.br
wn.com/International Conference In Number Theory And Physics Mini Course Murthy 04
International Conference in Number Theory and Physics
Mini Course - Prof. Sameer Murthy (King's College)
Class 4
Quantum Black Holes, Modular Forms and Mock Modular Forms In the quantum theory of black holes in superstring theory, the physical problem of counting the number of quarter-BPS dyonic states of a given charge has led to the study of Fourier coefficients of certain meromorphic Siegel modular forms and to the question of the modular nature of the corresponding generating functions. These Fourier coefficients have a wall-crossing behavior which seems to destroy modularity. In this mini-course I shall explain that these generating functions belong to a class of functions called mock modular forms. I shall discuss the physical consequences of this statement, and interesting mathematical examples that arise from this construction. This is based on joint work with Atish Dabholkar and Don Zagier.
Página:
http://www.impa.br/opencms/pt/eventos/store_old/evento_1504
Download dos vídeos:
http://video.impa.br/index.php?page=international-conference-in-number-theory-and-physics
This school and conference aims to bring together mathematicians (from number theory and algebraic geometry,…) and theoretical physicists (from Quantum Chaos, QFT and String Theory,…). The first week will be aimed at introductory minicourses and introductory lectures in several topics on Number Theory and Physics. And the second week will focus on research lectures and advanced level minicourses aimed at graduate students and researchers at all levels.
The main purpose of the school and conference is to bring together leading researchers in number theory and physics, to foster further mutually beneficial interaction between Number Theory and Physics.
The school will be made of a series of plenary lectures, short lectures and minicourses in different subjects on Number Theory and Physics. One of the aims of this school is to discuss the recent developments in a wide range of topics at the crossroads between Number Theory and Physics. The main topics to be covered in this conference are:
- Number Theory and Random Matrices
- Number Theory over Function Fields and Riemann Hypothesis for Curves
- Modular Forms, Mock Modular Forms and Generalizations
- String Theory, String dualities and automorphic forms
- Quantum Field Theory for Mathematicians and Number Theorists
- Quantum Chaos, Arithmetic Quantum Chaos and Number Theory
- Noncommutative Geometry in Number Theory and Physics
- Polylogarithms, Multiple Zeta Values and Pertubative Physics
- Mirror Symmetry, Calabi-Yau Manifolds and Zeta Functions
- Prime Numbers and recent developments
- AdS/CFT and arithmetic
IMPA - Instituto Nacional de Matemática Pura e Aplicada ©
http://www.impa.br | http://video.impa.br
- published: 01 Jul 2015
- views: 41
Maryna Viazovska: CM values of regularized theta lifts
- Order: Reorder
- Duration: 47:11
- Updated: 11 Feb 2014
- views: 2219
Abstract: In this talk we will discuss arithmetic properties regularized Petersson products between a holomorphic theta series associated to a positive definite...
Abstract: In this talk we will discuss arithmetic properties regularized Petersson products between a holomorphic theta series associated to a positive definite binary quadratic form and a weakly holomorphic weight 1 modular form with integral Fourier coefficients. We prove that such a Petersson product is equal to the logarithm of a certain algebraic number lying in a ring class field associated to the binary quadratic form. Using the Gross-Zagier formula for local heights of Heegner poins we give an explicit factorization formula for this algebraic number. Finally, we will show that Petersson products of this kind are "building blocks" for CM-values of a wide class of regularized theta lifts.
The lecture was held within the framework of the Junior Hausdorff Trimester
Program Algebraic Geometry. (5.2.2014)
wn.com/Maryna Viazovska Cm Values Of Regularized Theta Lifts
Abstract: In this talk we will discuss arithmetic properties regularized Petersson products between a holomorphic theta series associated to a positive definite binary quadratic form and a weakly holomorphic weight 1 modular form with integral Fourier coefficients. We prove that such a Petersson product is equal to the logarithm of a certain algebraic number lying in a ring class field associated to the binary quadratic form. Using the Gross-Zagier formula for local heights of Heegner poins we give an explicit factorization formula for this algebraic number. Finally, we will show that Petersson products of this kind are "building blocks" for CM-values of a wide class of regularized theta lifts.
The lecture was held within the framework of the Junior Hausdorff Trimester
Program Algebraic Geometry. (5.2.2014)
- published: 11 Feb 2014
- views: 2219
581f: 20071015
- Order: Reorder
- Duration: 35:41
- Updated: 24 Apr 2011
- views: 17
Math 581f course on number theory using sage
William Stein
speaker: William Stein
Math 581f course on number theory using sage
William Stein
speaker: William Stein
wn.com/581F 20071015
Math 581f course on number theory using sage
William Stein
speaker: William Stein
- published: 24 Apr 2011
- views: 17
Class field theory for singular schemes over finite fields | Thomas Geisser | Лекториум
- Order: Reorder
- Duration: 67:52
- Updated: 07 Oct 2013
- views: 971
Class field theory for singular schemes over finite fields, Лектор: Thomas Geisser, Организаторы: -Математичеcкая лаборатория имени П.Л.Чебышева
Смотрите это в...
Class field theory for singular schemes over finite fields, Лектор: Thomas Geisser, Организаторы: -Математичеcкая лаборатория имени П.Л.Чебышева
Смотрите это видео на Лекториуме: https://lektorium.tv/lecture/14633
A classical theorem states that the Galois group of the maximal abelian unramified extension of a number field is isomorphic to the class group of the number field. A similar statement holds for global fields of finite characteristic, giving the automorphism group of the maximal abelian etale covering of a smooth and proper curve.This has been generalized by Bloch and Kato-Saito to smooth and proper schemes of any dimension, and further generalized by Spiess-Schmidt to smooth schemes. We discuss a further generalization to arbitrary schemes.
Другие курсы на эту тему доступны тут https://lektorium.tv/medialibrary
Подписывайтесь на канал: http://www.youtube.com/channel/UCxAGkrJYNlpC1jfnJvE_6Lw
Следите за новостями:
https://vk.com/openlektorium
https://www.facebook.com/groups/Lektorium/
wn.com/Class Field Theory For Singular Schemes Over Finite Fields | Thomas Geisser | Лекториум
Class field theory for singular schemes over finite fields, Лектор: Thomas Geisser, Организаторы: -Математичеcкая лаборатория имени П.Л.Чебышева
Смотрите это видео на Лекториуме: https://lektorium.tv/lecture/14633
A classical theorem states that the Galois group of the maximal abelian unramified extension of a number field is isomorphic to the class group of the number field. A similar statement holds for global fields of finite characteristic, giving the automorphism group of the maximal abelian etale covering of a smooth and proper curve.This has been generalized by Bloch and Kato-Saito to smooth and proper schemes of any dimension, and further generalized by Spiess-Schmidt to smooth schemes. We discuss a further generalization to arbitrary schemes.
Другие курсы на эту тему доступны тут https://lektorium.tv/medialibrary
Подписывайтесь на канал: http://www.youtube.com/channel/UCxAGkrJYNlpC1jfnJvE_6Lw
Следите за новостями:
https://vk.com/openlektorium
https://www.facebook.com/groups/Lektorium/
- published: 07 Oct 2013
- views: 971
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8:52
The sum of all counting numbers equals WHAT?
This is the second half of a lesson, watch the first half here: http://youtu.be/yudhkUUzAg...
published: 17 Jul 2014
The sum of all counting numbers equals WHAT?
The sum of all counting numbers equals WHAT?
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- published: 17 Jul 2014
- views: 5481
11:30
163 and Ramanujan Constant - Numberphile
Why does Alex Clark, from the University of Leicester, have a strange fascination with 163...
published: 02 Mar 2012
163 and Ramanujan Constant - Numberphile
163 and Ramanujan Constant - Numberphile
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- published: 02 Mar 2012
- views: 518281
113:56
Henri Darmon, Heegner points, Stark-Heegner points and explicit class field theory
published: 02 Oct 2014
Henri Darmon, Heegner points, Stark-Heegner points and explicit class field theory
Henri Darmon, Heegner points, Stark-Heegner points and explicit class field theory
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- published: 02 Oct 2014
- views: 382
2:08
Elegant Confusion and Imaginary Numbers (extra footage) - Numberphile
This extra footage with Barry Mazur follows on from: http://youtu.be/_qvp9a1x2UM
Barry's b...
published: 25 Feb 2015
Elegant Confusion and Imaginary Numbers (extra footage) - Numberphile
Elegant Confusion and Imaginary Numbers (extra footage) - Numberphile
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- published: 25 Feb 2015
- views: 37291
52:18
Jan Bruinier: Classes of Heegner divisors and traces of singular moduli
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Ma...
published: 03 Aug 2015
Jan Bruinier: Classes of Heegner divisors and traces of singular moduli
Jan Bruinier: Classes of Heegner divisors and traces of singular moduli
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- published: 03 Aug 2015
- views: 85
62:45
Daniel Disegni: The p adic Gross Zagier formula on Shimura curves
Abstract: The Gross-Zagier formula relates the heights of Heegner points on elliptic curve...
published: 14 Feb 2014
Daniel Disegni: The p adic Gross Zagier formula on Shimura curves
Daniel Disegni: The p adic Gross Zagier formula on Shimura curves
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- published: 14 Feb 2014
- views: 425
1:00
The Big Bang Theory - #73
Sheldon tells the gang why the number 73 is the best number around. I cut this video for m...
published: 11 Dec 2010
The Big Bang Theory - #73
The Big Bang Theory - #73
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- published: 11 Dec 2010
- views: 230552
46:26
Yuri Manin - Numbers as functions
Numbers as functions Licence: CC BY NC-ND 4.0
published: 04 Jun 2015
Yuri Manin - Numbers as functions
Yuri Manin - Numbers as functions
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- published: 04 Jun 2015
- views: 731
62:39
International Conference in Number Theory and Physics - Mini Course - Saberi - 02
International Conference in Number Theory and Physics
Mini Course - Prof. Ingmar Saberi C...
published: 01 Jul 2015
International Conference in Number Theory and Physics - Mini Course - Saberi - 02
International Conference in Number Theory and Physics - Mini Course - Saberi - 02
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- published: 01 Jul 2015
- views: 156
57:21
Geometry of numbers (Yuri Tschinkel)
Plática dada por Yuri Tschinkel (New York University) dentro del Ciclo Perspectivas Matemá...
published: 04 Mar 2015
Geometry of numbers (Yuri Tschinkel)
Geometry of numbers (Yuri Tschinkel)
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- published: 04 Mar 2015
- views: 310
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62:51
International Conference in Number Theory and Physics - Mini Course - Murthy - 04
International Conference in Number Theory and Physics
Mini Course - Prof. Sameer Murthy (...
published: 01 Jul 2015
International Conference in Number Theory and Physics - Mini Course - Murthy - 04
International Conference in Number Theory and Physics - Mini Course - Murthy - 04
- Report rights infringement
- published: 01 Jul 2015
- views: 41
47:11
Maryna Viazovska: CM values of regularized theta lifts
Abstract: In this talk we will discuss arithmetic properties regularized Petersson product...
published: 11 Feb 2014
Maryna Viazovska: CM values of regularized theta lifts
Maryna Viazovska: CM values of regularized theta lifts
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- published: 11 Feb 2014
- views: 2219
35:41
581f: 20071015
Math 581f course on number theory using sage
William Stein
speaker: William Stein
published: 24 Apr 2011
581f: 20071015
581f: 20071015
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- published: 24 Apr 2011
- views: 17
67:52
Class field theory for singular schemes over finite fields | Thomas Geisser | Лекториум
Class field theory for singular schemes over finite fields, Лектор: Thomas Geisser, Органи...
published: 07 Oct 2013
Class field theory for singular schemes over finite fields | Thomas Geisser | Лекториум
Class field theory for singular schemes over finite fields | Thomas Geisser | Лекториум
- Report rights infringement
- published: 07 Oct 2013
- views: 971
International Conference in Number Theory and Phys...
Maryna Viazovska: CM values of regularized theta l...
581f: 20071015...
Class field theory for singular schemes over finit...
photo: AP / M. Jameel
Honor Killing: Pakistani Social Media Star Strangled to Death by brother
Edit Voa News 16 Jul 2016
Hundreds of women are murdered in Pakistan for honor every year. On Friday, Pakistani model and social media celebrity Qandeel Balock was killed by one of her brothers, police said. Balock was spending the Ed holiday with her family and had travelled from Karachi to Muzaffarabad village in central Punjab province. She was asleep, police said, when one of her six brothers strangled Baloch to death in the family’s home ... ....
photo: AP
French PM says clear that Nice truck driver was radicalised quickly
Edit The Himalayan 17 Jul 2016
PARIS. The man behind the truck attack that killed at least 84 people celebrating Bastille Day in the French city of Nice had recently been radicalised, French Prime Minister Manuel Valls said in remarks published on Sunday. Thursday night’s attack in the Riviera city of Nice plunged France into new grief and fear just eight months after gunmen killed 130 people in Paris ... SECURITY FAILURES? ... ... ....
photo: AP / Evan Vucci
Why Mike Pence won't be Donald Trump's attack dog
Edit Business Insider 17 Jul 2016
Republican U.S. presidential candidate Donald Trump (R) applauds and Indiana Governor Mike Pence waves as Pence's daughter Charlotte looks on at a press event held to introduce Pence as Trump's running mate in New York, U.S., July 16, 2016. (Reuters) - In 1990, during a close and bitter congressional race, Mike Pence came under attack for using campaign funds to pay for personal expenses, including his mortgage and credit card bills ... ....
photo: AP / Emrah Gurel
Thousands rally for Turkish President Erdogan after military coup fails
Edit Deccan Chronicle 17 Jul 2016
Ankara ... Akar was later rescued in an operation that marked the end of the plotters' hopes ... There was chaos in the city as angry crowds jeered the passing tanks, with much smaller numbers welcoming the troops ... In a call to his Turkish opposite number Saturday, US Secretary of State John Kerry offered Washington's continued support, but also denounced claims by some Ankara officials that the US had backed the coup ... ....
photo: AP / Frank Augstein
UK offered Brexit free trade deal with Australia
Edit BBC News 17 Jul 2016
Australia has called for a free trade deal with Britain following its exit from the European Union. Theresa May described the move as "very encouraging" and insisted it showed Brexit can work for Britain ... Mrs May said ... to be ready for when we leave" ... "We've already had a number of countries saying, 'We'd love to do a trade deal with the world's fifth biggest economy without having to deal with the other 27 members of the EU'." ... ....
« back to news headlines
Airports handle 8,000 travelers an hour
Edit Arabnews 17 Jul 2016
A report issued by the General Authority for Civil Aviation has disclosed that the total number of passengers using the Kingdom's airports was more than 78 million in 2015, amounting to 8,000 travelers per hour ... The report noted that the number of passengers using KAIA worked out to 41 percent of the total number of passengers in the Kingdom ... The total number of passengers using all airports in the Kingdom was 78 million....
Drink driving cases rising by the day in Cyberabad
Edit The Times of India 17 Jul 2016
The number of people booked for the offence has not dipped below 1,518 for any month this year. In fact, the total number of drivers who hit the roads after one too many pegs has only been mounting. If the number of drink driving cases in April stood at 1,593 in the Cyberabad belt, it jumped to 1,800 in May and 1,826 in June ... The number of retail outlets in the same area has also increased by 25....
Omanis spending thousands on drug de-addiction abroad
Edit Topix 17 Jul 2016
Out of the total 1,826 clients that have come to The Cabin over the last five years, the numbers of Middle Easterners stood at 183, of which the number of Omanis were pegged at 37, accounting for about 20 per cent of the total visitors. Out of the total 1,826 clients that have come to The Cabin over the last five years, the numbers of Middle ......
No one to answer RTO helpline no.
Edit The Times of India 17 Jul 2016
Passengers have complained that every time they called the helpline number to file a complaint, there is no one on the other end to take the call ... After tryin in vain to call the RTO helpline number to complain abotu the errant auto driver who was charging hefty tariff, he ended up taking the bus."....
Telecom dupes customer by allotting number in use to another customer
Edit The Times of India 17 Jul 2016Corporation launches WhatsApp helpline
Edit The Times of India 17 Jul 2016
The Madurai Corporation on Saturday launched a WhatsApp helpline number and a call centre for the public to report grievances ... This prompted the corporation to launch the WhatsApp helpline number to cope with the changing times, corporation sources said. The WhatsApp number for public grievance will be 7449104104. The call centre helpline can be contacted at 0452-2525252 and through a toll free number, 1800-425-8445....
PWD to conduct traffic survey to check toll booth collection
Edit The Times of India 17 Jul 2016
The department has resorted to counting vehicles using ATCC - an electronic system that uses camera and sensors to count the number of two-wheelers, four-wheelers and commercial or heavy vehicles passing through the section ... If the data shows lesser numbers of vehicles, the motorists will have to pay toll for a longer duration of time....
Faculty/Staff—Help Us Update the LAVC Directory! (Los Angeles Valley College)
Edit Public Technologies 17 Jul 2016
(Source. Los Angeles Valley College) ... LAVC has an online LAVC Phone/Email Directory that is used by students, faculty, staff and administrators to reach employees at their office phone number and/or email address ... (1) employee's full name,. (2) nickname (if applicable), ... (5) building location with room number. (6) LAVC phone number or voice mail extension,. (7) fax number, ... (9) secondary phone number or email address (if applicable) ... (noodl....
Winning numbers drawn in 'Daily 3 Evening' game
Edit San Francisco Chronicle 17 Jul 2016
SACRAMENTO (AP) _ The winning numbers in Saturday evening's drawing of the California Lottery's "Daily 3 Evening" game were. 6-0-7 (six, zero, seven) ¶ Ticket-holders with all three winning numbers in the order given win the top prize. Lesser amounts are also awarded to ticket-holders with other varying combinations of the winning numbers ... ....
ANNOUNCEMENT (Ministry of Foreign Affairs of the Republic of Macedonia)
Edit Public Technologies 17 Jul 2016
(Source. Ministry of Foreign Affairs of the Republic of Macedonia) Details Published. 16 July 2016. Late last night the Deputy Prime Minister of the Republic of Macedonia and the Minister of Foreign Affairs, Nikola Poposki, spoke on the phone with his Turkish counterpart Mevlüt Çavuşoğlu ... Mobile phone numbers. +905383130343; +905385466691. Landline numbers ... E-mail ... Mobile phone number ... Landline numbers. T ... Mobile phone numbers ... Landline numbers....
Has streaming broken the UK singles chart?
Edit BBC News 17 Jul 2016
On Friday, the star's single notched up a 14th week at number one - meaning he could soon break the Bryan Adams barrier, and become the UK's longest-running chart topper ... It's only the inclusion of streaming data (where 100 plays count as one sale) that has given him a lock on the number one spot ... It would be, I think, unprecedented to take the number one record off the Radio 1 playlist ... "To some extent, the numbers bear that out....
Railways responsible if passenger's goods stolen: Consumer forum
Edit The Times of India 17 Jul 2016
Jabalpur ... Manish Shukla, 45, resident of Gujarat was travelling in train number 22909 (Valsad Express) on the coach number B-1 on February 2, 2014 along with wife Darshini Shukla, 44, and children. The family was travelling on berth numbers 51, 54, 40 and 48 ... In his petition, Shukla informed that on berth numbers 49 & 50 of the same coach, a passenger named Sanjeev and Ved Prakash were travelling and he had raised suspicion on them....
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