- published: 18 Oct 2015
- views: 338
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2010 Clay Research Conference
The Mystery of 3-Manifolds
William Thurston
Clay Mathematics Institute
http://www.claymath.org/video
- published: 27 Nov 2011
- views: 38355
Various 3-manifolds are embedded in 4-space and are intersected with moving hyper-planes, the resulting intersection is a 2-manifold (surface) which is then projected into 3-dimensions. In many instances the slicing plane can be tilted so that the height function it generates on the 3-manifold is Morse.
- published: 14 Dec 2012
- views: 1300
I give a gentle introduction to three dimensional manifolds by discussing simple surfaces, and how they can be generalized.
Our universe is a 3D manifold, and so understanding what kinds of topologies three dimensional manifolds can exist is crucial for cosmology. It also teaches us about what other kinds of universes could be like. This leads to a discussion of the hyper torus, the 'hyper Klien bottle' and the 'twisted hyper torus'.
Resources:
https://sites.google.com/site/richardsouthwell254/home
The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds (Jeffrey R. Weeks)
Shape of Space - Topology and Geometry Software
http://www.geometrygames.org/SoS/
- published: 23 Jan 2014
- views: 6157
Geometric Structures on 3-manifolds
Topic: Low-dimensional dynamics and hyperbolic 3-manifolds
Speaker: André de Carvalho
Date: Tuesday, January 19
Thurston's hyperbolization of fibered 3-manifolds is based on his classification theorem for isotopy classes of surface homeomorphisms. This classification has also been extremely important to the study of dynamical systems on surfaces. The classification theorem holds for surfaces of finite topological type, but in dynamics one is always interested in infinities: infinite time, infinite orbits, etc. In this talk we discuss some specific instances of this contrast. We introduce generalized pseudo-Anosov maps, which are pA maps which are allowed to have infinitely many singularities. We then discuss the possibility of hyperbolizing the associated mapping tori and some similarities with the Otal proof of hyperbolization. We also discuss families of mapping tori associated to families of unimodal maps, limits of certain sequences of hyperbolic 3-manifolds within these families and relate this to the previous hyperbolization discussion.
For more videos, visit http://video.ias.edu
- published: 20 Jan 2016
- views: 98
Lecture by Curtis McMullen on the Thurston's geometrization conjecture and its proof, at the IHP in Paris. Part of the Clay Annual meeting, May 2010. In honor of Grigori Perelman's solution to the Millennium Prize problem on the Poincare' conjecture.
- published: 18 Oct 2015
- views: 1187
XIX School on Differential Geometry
Álvaro Krüger Ramos (UFRS) - Finite Topology Surfaces Of Constant Mean Curvature In Hyperbolic 3-Manifolds
Página do Evento: http://www.impa.br/opencms/en/eventos...
Download dos Vídeos: http:http://video.impa.br/index.php?page=x...
IMPA - Instituto Nacional de Matemática Pura e Aplicada ©
http://www.impa.br | http://video.impa.br
- published: 26 Jul 2016
- views: 6
Geometric Structures on 3-manifolds
Topic: Geometry of complex surface singularities and 3-manifolds
Speaker: Walter Neumann
Date: Tuesday, January 26
I will talk about bilipschitz geometry of complex algebraic sets, focusing on the local geometry in dimension 2 (complex surface singularities), where the topological classification has long been understood in terms of 3-manifolds, while the analytic classification, even in this low dimension, is still very much out of reach. Bilipschitz geometry lies between the extremes of topological and analytic type. Although it leads to a "tame" classification (as first conjectured by Siebenmann and Sullivan in the 70's and proved by Mostowski in the mid-eighties), it is only in the last decade that the richness of the bilipschitz classification has become evident. I will describe work of Lev Birbrair, Anne Pichon and myself, on bilipschitz classification of complex surface germs in terms of refined JSJ decomposition of their 3-manifold links plus associated rational invariants, and if time permits, also the relationship of the classification with Zariski equisingularity, which was Zariski's approach to a tame classification.
For more videos visit http;//video.ias.edu
- published: 26 Jan 2016
- views: 195
2010 Clay Research Conference
Volumes of hyperbolic 3-manifolds
David Gabai
Clay Mathematics Institute
http://www.claymath.org/video
- published: 01 Dec 2011
- views: 3663
Ian Agol
University of California, Berkeley; Distinguished Visiting Professor, School of Mathematics
October 12, 2015
http://www.math.ias.edu/calendar/event/89554/1444672800/1444676400
I'll review recent progress on properties of 3-manifold groups, especially following from geometric properties. Then I'll discuss some open questions regarding 3-manifold groups, including their profinite completions, torsion in covers, orderability, and PD(3) groups.
More videos on http://video.ias.edu
- published: 13 Oct 2015
- views: 380
3-manifold
In mathematics, a 3-manifold is a space that locally looks like Euclidean 3-dimensional space. Intuitively, a 3-manifold can be thought of as a possible shape of the universe. Just like a sphere looks like a plane to a small enough observer, all 3-manifolds look like our universe does to a small enough observer. This is made more precise in the definition below.
Introduction
Definition
A topological space X is a 3-manifold if it is a second-countable Hausdorff space and if every point in X has a neighbourhood that is homeomorphic to Euclidean 3-space.
Mathematical theory of 3-manifolds
The topological, piecewise-linear, and smooth categories are all equivalent in three dimensions, so little distinction is made in whether we are dealing with say, topological 3-manifolds, or smooth 3-manifolds.
Phenomena in three dimensions can be strikingly different from phenomena in other dimensions, and so there is a prevalence of very specialized techniques that do not generalize to dimensions greater than three. This special role has led to the discovery of close connections to a diversity of other fields, such as knot theory, geometric group theory, hyperbolic geometry, number theory, Teichmüller theory, topological quantum field theory, gauge theory, Floer homology, and partial differential equations. 3-manifold theory is considered a part of low-dimensional topology or geometric topology.
This page contains text from Wikipedia, the Free Encyclopedia -
http://wn.com/3-manifold
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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60:54The geometry of 3-manifolds
The geometry of 3-manifolds -
58:41The Mystery of 3-Manifolds - William Thurston
The Mystery of 3-Manifolds - William ThurstonThe Mystery of 3-Manifolds - William Thurston
2010 Clay Research Conference The Mystery of 3-Manifolds William Thurston Clay Mathematics Institute http://www.claymath.org/video -
6:20Slices of 3-Manifolds
Slices of 3-ManifoldsSlices of 3-Manifolds
Various 3-manifolds are embedded in 4-space and are intersected with moving hyper-planes, the resulting intersection is a 2-manifold (surface) which is then projected into 3-dimensions. In many instances the slicing plane can be tilted so that the height function it generates on the 3-manifold is Morse. -
14:26Topology For Beginners: Introduction To 3D Manifolds
Topology For Beginners: Introduction To 3D ManifoldsTopology For Beginners: Introduction To 3D Manifolds
I give a gentle introduction to three dimensional manifolds by discussing simple surfaces, and how they can be generalized. Our universe is a 3D manifold, and so understanding what kinds of topologies three dimensional manifolds can exist is crucial for cosmology. It also teaches us about what other kinds of universes could be like. This leads to a discussion of the hyper torus, the 'hyper Klien bottle' and the 'twisted hyper torus'. Resources: https://sites.google.com/site/richardsouthwell254/home The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds (Jeffrey R. Weeks) Shape of Space - Topology and Geometry Software http://www.geometrygames.org/SoS/ -
45:40Low-dimensional dynamics and hyperbolic 3-manifolds - Carvalho
Low-dimensional dynamics and hyperbolic 3-manifolds - CarvalhoLow-dimensional dynamics and hyperbolic 3-manifolds - Carvalho
Geometric Structures on 3-manifolds Topic: Low-dimensional dynamics and hyperbolic 3-manifolds Speaker: André de Carvalho Date: Tuesday, January 19 Thurston's hyperbolization of fibered 3-manifolds is based on his classification theorem for isotopy classes of surface homeomorphisms. This classification has also been extremely important to the study of dynamical systems on surfaces. The classification theorem holds for surfaces of finite topological type, but in dynamics one is always interested in infinities: infinite time, infinite orbits, etc. In this talk we discuss some specific instances of this contrast. We introduce generalized pseudo-Anosov maps, which are pA maps which are allowed to have infinitely many singularities. We then discuss the possibility of hyperbolizing the associated mapping tori and some similarities with the Otal proof of hyperbolization. We also discuss families of mapping tori associated to families of unimodal maps, limits of certain sequences of hyperbolic 3-manifolds within these families and relate this to the previous hyperbolization discussion. For more videos, visit http://video.ias.edu -
46:54The evolution of geometric structures on 3-manifolds.
The evolution of geometric structures on 3-manifolds.The evolution of geometric structures on 3-manifolds.
Lecture by Curtis McMullen on the Thurston's geometrization conjecture and its proof, at the IHP in Paris. Part of the Clay Annual meeting, May 2010. In honor of Grigori Perelman's solution to the Millennium Prize problem on the Poincare' conjecture. -
43:47Finite Topology Surfaces Of Constant Mean Curvature In Hyperbolic 3-Manifolds
Finite Topology Surfaces Of Constant Mean Curvature In Hyperbolic 3-ManifoldsFinite Topology Surfaces Of Constant Mean Curvature In Hyperbolic 3-Manifolds
XIX School on Differential Geometry Álvaro Krüger Ramos (UFRS) - Finite Topology Surfaces Of Constant Mean Curvature In Hyperbolic 3-Manifolds Página do Evento: http://www.impa.br/opencms/en/eventos... Download dos Vídeos: http:http://video.impa.br/index.php?page=x... IMPA - Instituto Nacional de Matemática Pura e Aplicada © http://www.impa.br | http://video.impa.br -
58:45Geometry of complex surface singularities and 3-manifolds - Neumann
Geometry of complex surface singularities and 3-manifolds - NeumannGeometry of complex surface singularities and 3-manifolds - Neumann
Geometric Structures on 3-manifolds Topic: Geometry of complex surface singularities and 3-manifolds Speaker: Walter Neumann Date: Tuesday, January 26 I will talk about bilipschitz geometry of complex algebraic sets, focusing on the local geometry in dimension 2 (complex surface singularities), where the topological classification has long been understood in terms of 3-manifolds, while the analytic classification, even in this low dimension, is still very much out of reach. Bilipschitz geometry lies between the extremes of topological and analytic type. Although it leads to a "tame" classification (as first conjectured by Siebenmann and Sullivan in the 70's and proved by Mostowski in the mid-eighties), it is only in the last decade that the richness of the bilipschitz classification has become evident. I will describe work of Lev Birbrair, Anne Pichon and myself, on bilipschitz classification of complex surface germs in terms of refined JSJ decomposition of their 3-manifold links plus associated rational invariants, and if time permits, also the relationship of the classification with Zariski equisingularity, which was Zariski's approach to a tame classification. For more videos visit http;//video.ias.edu -
51:05Volumes of Hyperbolic 3-Manifolds - David Gabai
Volumes of Hyperbolic 3-Manifolds - David GabaiVolumes of Hyperbolic 3-Manifolds - David Gabai
2010 Clay Research Conference Volumes of hyperbolic 3-manifolds David Gabai Clay Mathematics Institute http://www.claymath.org/video -
62:023-Manifold Groups - Ian Agol
3-Manifold Groups - Ian Agol3-Manifold Groups - Ian Agol
Ian Agol University of California, Berkeley; Distinguished Visiting Professor, School of Mathematics October 12, 2015 http://www.math.ias.edu/calendar/event/89554/1444672800/1444676400 I'll review recent progress on properties of 3-manifold groups, especially following from geometric properties. Then I'll discuss some open questions regarding 3-manifold groups, including their profinite completions, torsion in covers, orderability, and PD(3) groups. More videos on http://video.ias.edu
-
-
The Mystery of 3-Manifolds - William Thurston
2010 Clay Research Conference The Mystery of 3-Manifolds William Thurston Clay Mathematics Institute http://www.claymath.org/video -
Slices of 3-Manifolds
Various 3-manifolds are embedded in 4-space and are intersected with moving hyper-planes, the resulting intersection is a 2-manifold (surface) which is then projected into 3-dimensions. In many instances the slicing plane can be tilted so that the height function it generates on the 3-manifold is Morse. -
Topology For Beginners: Introduction To 3D Manifolds
I give a gentle introduction to three dimensional manifolds by discussing simple surfaces, and how they can be generalized. Our universe is a 3D manifold, and so understanding what kinds of topologies three dimensional manifolds can exist is crucial for cosmology. It also teaches us about what other kinds of universes could be like. This leads to a discussion of the hyper torus, the 'hyper Klien bottle' and the 'twisted hyper torus'. Resources: https://sites.google.com/site/richardsouthwell254/home The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds (Jeffrey R. Weeks) Shape of Space - Topology and Geometry Software http://www.geometrygames.org/SoS/ -
Low-dimensional dynamics and hyperbolic 3-manifolds - Carvalho
Geometric Structures on 3-manifolds Topic: Low-dimensional dynamics and hyperbolic 3-manifolds Speaker: André de Carvalho Date: Tuesday, January 19 Thurston's hyperbolization of fibered 3-manifolds is based on his classification theorem for isotopy classes of surface homeomorphisms. This classification has also been extremely important to the study of dynamical systems on surfaces. The classification theorem holds for surfaces of finite topological type, but in dynamics one is always interested in infinities: infinite time, infinite orbits, etc. In this talk we discuss some specific instances of this contrast. We introduce generalized pseudo-Anosov maps, which are pA maps which are allowed to have infinitely many singularities. We then discuss the possibility of hyperbolizing the associat... -
The evolution of geometric structures on 3-manifolds.
Lecture by Curtis McMullen on the Thurston's geometrization conjecture and its proof, at the IHP in Paris. Part of the Clay Annual meeting, May 2010. In honor of Grigori Perelman's solution to the Millennium Prize problem on the Poincare' conjecture. -
Finite Topology Surfaces Of Constant Mean Curvature In Hyperbolic 3-Manifolds
XIX School on Differential Geometry Álvaro Krüger Ramos (UFRS) - Finite Topology Surfaces Of Constant Mean Curvature In Hyperbolic 3-Manifolds Página do Evento: http://www.impa.br/opencms/en/eventos... Download dos Vídeos: http:http://video.impa.br/index.php?page=x... IMPA - Instituto Nacional de Matemática Pura e Aplicada © http://www.impa.br | http://video.impa.br -
Geometry of complex surface singularities and 3-manifolds - Neumann
Geometric Structures on 3-manifolds Topic: Geometry of complex surface singularities and 3-manifolds Speaker: Walter Neumann Date: Tuesday, January 26 I will talk about bilipschitz geometry of complex algebraic sets, focusing on the local geometry in dimension 2 (complex surface singularities), where the topological classification has long been understood in terms of 3-manifolds, while the analytic classification, even in this low dimension, is still very much out of reach. Bilipschitz geometry lies between the extremes of topological and analytic type. Although it leads to a "tame" classification (as first conjectured by Siebenmann and Sullivan in the 70's and proved by Mostowski in the mid-eighties), it is only in the last decade that the richness of the bilipschitz classification has b... -
Volumes of Hyperbolic 3-Manifolds - David Gabai
2010 Clay Research Conference Volumes of hyperbolic 3-manifolds David Gabai Clay Mathematics Institute http://www.claymath.org/video -
3-Manifold Groups - Ian Agol
Ian Agol University of California, Berkeley; Distinguished Visiting Professor, School of Mathematics October 12, 2015 http://www.math.ias.edu/calendar/event/89554/1444672800/1444676400 I'll review recent progress on properties of 3-manifold groups, especially following from geometric properties. Then I'll discuss some open questions regarding 3-manifold groups, including their profinite completions, torsion in covers, orderability, and PD(3) groups. More videos on http://video.ias.edu
The geometry of 3-manifolds
- Order: Reorder
- Duration: 60:54
- Updated: 18 Oct 2015
- views: 338
Public evening lecture by McMullen at Harvard University Science Center in 2006. Also at http://athome.harvard.edu/threemanifolds.
Public evening lecture by McMullen at Harvard University Science Center in 2006. Also at http://athome.harvard.edu/threemanifolds.
wn.com/The Geometry Of 3 Manifolds
The Mystery of 3-Manifolds - William Thurston
- Order: Reorder
- Duration: 58:41
- Updated: 27 Nov 2011
- views: 38355
2010 Clay Research Conference
The Mystery of 3-Manifolds
William Thurston
Clay Mathematics Institute
http://www.claymath.org/video
2010 Clay Research Conference
The Mystery of 3-Manifolds
William Thurston
Clay Mathematics Institute
http://www.claymath.org/video
wn.com/The Mystery Of 3 Manifolds William Thurston
2010 Clay Research Conference
The Mystery of 3-Manifolds
William Thurston
Clay Mathematics Institute
http://www.claymath.org/video
- published: 27 Nov 2011
- views: 38355
Slices of 3-Manifolds
- Order: Reorder
- Duration: 6:20
- Updated: 14 Dec 2012
- views: 1300
Various 3-manifolds are embedded in 4-space and are intersected with moving hyper-planes, the resulting intersection is a 2-manifold (surface) which is then pro...
Various 3-manifolds are embedded in 4-space and are intersected with moving hyper-planes, the resulting intersection is a 2-manifold (surface) which is then projected into 3-dimensions. In many instances the slicing plane can be tilted so that the height function it generates on the 3-manifold is Morse.
wn.com/Slices Of 3 Manifolds
Various 3-manifolds are embedded in 4-space and are intersected with moving hyper-planes, the resulting intersection is a 2-manifold (surface) which is then projected into 3-dimensions. In many instances the slicing plane can be tilted so that the height function it generates on the 3-manifold is Morse.
- published: 14 Dec 2012
- views: 1300
Topology For Beginners: Introduction To 3D Manifolds
- Order: Reorder
- Duration: 14:26
- Updated: 23 Jan 2014
- views: 6157
I give a gentle introduction to three dimensional manifolds by discussing simple surfaces, and how they can be generalized.
Our universe is a 3D manifold, and...
I give a gentle introduction to three dimensional manifolds by discussing simple surfaces, and how they can be generalized.
Our universe is a 3D manifold, and so understanding what kinds of topologies three dimensional manifolds can exist is crucial for cosmology. It also teaches us about what other kinds of universes could be like. This leads to a discussion of the hyper torus, the 'hyper Klien bottle' and the 'twisted hyper torus'.
Resources:
https://sites.google.com/site/richardsouthwell254/home
The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds (Jeffrey R. Weeks)
Shape of Space - Topology and Geometry Software
http://www.geometrygames.org/SoS/
wn.com/Topology For Beginners Introduction To 3D Manifolds
I give a gentle introduction to three dimensional manifolds by discussing simple surfaces, and how they can be generalized.
Our universe is a 3D manifold, and so understanding what kinds of topologies three dimensional manifolds can exist is crucial for cosmology. It also teaches us about what other kinds of universes could be like. This leads to a discussion of the hyper torus, the 'hyper Klien bottle' and the 'twisted hyper torus'.
Resources:
https://sites.google.com/site/richardsouthwell254/home
The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds (Jeffrey R. Weeks)
Shape of Space - Topology and Geometry Software
http://www.geometrygames.org/SoS/
- published: 23 Jan 2014
- views: 6157
Low-dimensional dynamics and hyperbolic 3-manifolds - Carvalho
- Order: Reorder
- Duration: 45:40
- Updated: 20 Jan 2016
- views: 98
Geometric Structures on 3-manifolds
Topic: Low-dimensional dynamics and hyperbolic 3-manifolds
Speaker: André de Carvalho
Date: Tuesday, January 19
Thurston's ...
Geometric Structures on 3-manifolds
Topic: Low-dimensional dynamics and hyperbolic 3-manifolds
Speaker: André de Carvalho
Date: Tuesday, January 19
Thurston's hyperbolization of fibered 3-manifolds is based on his classification theorem for isotopy classes of surface homeomorphisms. This classification has also been extremely important to the study of dynamical systems on surfaces. The classification theorem holds for surfaces of finite topological type, but in dynamics one is always interested in infinities: infinite time, infinite orbits, etc. In this talk we discuss some specific instances of this contrast. We introduce generalized pseudo-Anosov maps, which are pA maps which are allowed to have infinitely many singularities. We then discuss the possibility of hyperbolizing the associated mapping tori and some similarities with the Otal proof of hyperbolization. We also discuss families of mapping tori associated to families of unimodal maps, limits of certain sequences of hyperbolic 3-manifolds within these families and relate this to the previous hyperbolization discussion.
For more videos, visit http://video.ias.edu
wn.com/Low Dimensional Dynamics And Hyperbolic 3 Manifolds Carvalho
Geometric Structures on 3-manifolds
Topic: Low-dimensional dynamics and hyperbolic 3-manifolds
Speaker: André de Carvalho
Date: Tuesday, January 19
Thurston's hyperbolization of fibered 3-manifolds is based on his classification theorem for isotopy classes of surface homeomorphisms. This classification has also been extremely important to the study of dynamical systems on surfaces. The classification theorem holds for surfaces of finite topological type, but in dynamics one is always interested in infinities: infinite time, infinite orbits, etc. In this talk we discuss some specific instances of this contrast. We introduce generalized pseudo-Anosov maps, which are pA maps which are allowed to have infinitely many singularities. We then discuss the possibility of hyperbolizing the associated mapping tori and some similarities with the Otal proof of hyperbolization. We also discuss families of mapping tori associated to families of unimodal maps, limits of certain sequences of hyperbolic 3-manifolds within these families and relate this to the previous hyperbolization discussion.
For more videos, visit http://video.ias.edu
- published: 20 Jan 2016
- views: 98
The evolution of geometric structures on 3-manifolds.
- Order: Reorder
- Duration: 46:54
- Updated: 18 Oct 2015
- views: 1187
Lecture by Curtis McMullen on the Thurston's geometrization conjecture and its proof, at the IHP in Paris. Part of the Clay Annual meeting, May 2010. In honor o...
Lecture by Curtis McMullen on the Thurston's geometrization conjecture and its proof, at the IHP in Paris. Part of the Clay Annual meeting, May 2010. In honor of Grigori Perelman's solution to the Millennium Prize problem on the Poincare' conjecture.
wn.com/The Evolution Of Geometric Structures On 3 Manifolds.
Lecture by Curtis McMullen on the Thurston's geometrization conjecture and its proof, at the IHP in Paris. Part of the Clay Annual meeting, May 2010. In honor of Grigori Perelman's solution to the Millennium Prize problem on the Poincare' conjecture.
- published: 18 Oct 2015
- views: 1187
Finite Topology Surfaces Of Constant Mean Curvature In Hyperbolic 3-Manifolds
- Order: Reorder
- Duration: 43:47
- Updated: 26 Jul 2016
- views: 6
XIX School on Differential Geometry
Álvaro Krüger Ramos (UFRS) - Finite Topology Surfaces Of Constant Mean Curvature In Hyperbolic 3-Manifolds
Página do Event...
XIX School on Differential Geometry
Álvaro Krüger Ramos (UFRS) - Finite Topology Surfaces Of Constant Mean Curvature In Hyperbolic 3-Manifolds
Página do Evento: http://www.impa.br/opencms/en/eventos...
Download dos Vídeos: http:http://video.impa.br/index.php?page=x...
IMPA - Instituto Nacional de Matemática Pura e Aplicada ©
http://www.impa.br | http://video.impa.br
wn.com/Finite Topology Surfaces Of Constant Mean Curvature In Hyperbolic 3 Manifolds
XIX School on Differential Geometry
Álvaro Krüger Ramos (UFRS) - Finite Topology Surfaces Of Constant Mean Curvature In Hyperbolic 3-Manifolds
Página do Evento: http://www.impa.br/opencms/en/eventos...
Download dos Vídeos: http:http://video.impa.br/index.php?page=x...
IMPA - Instituto Nacional de Matemática Pura e Aplicada ©
http://www.impa.br | http://video.impa.br
- published: 26 Jul 2016
- views: 6
Geometry of complex surface singularities and 3-manifolds - Neumann
- Order: Reorder
- Duration: 58:45
- Updated: 26 Jan 2016
- views: 195
Geometric Structures on 3-manifolds
Topic: Geometry of complex surface singularities and 3-manifolds
Speaker: Walter Neumann
Date: Tuesday, January 26
I will t...
Geometric Structures on 3-manifolds
Topic: Geometry of complex surface singularities and 3-manifolds
Speaker: Walter Neumann
Date: Tuesday, January 26
I will talk about bilipschitz geometry of complex algebraic sets, focusing on the local geometry in dimension 2 (complex surface singularities), where the topological classification has long been understood in terms of 3-manifolds, while the analytic classification, even in this low dimension, is still very much out of reach. Bilipschitz geometry lies between the extremes of topological and analytic type. Although it leads to a "tame" classification (as first conjectured by Siebenmann and Sullivan in the 70's and proved by Mostowski in the mid-eighties), it is only in the last decade that the richness of the bilipschitz classification has become evident. I will describe work of Lev Birbrair, Anne Pichon and myself, on bilipschitz classification of complex surface germs in terms of refined JSJ decomposition of their 3-manifold links plus associated rational invariants, and if time permits, also the relationship of the classification with Zariski equisingularity, which was Zariski's approach to a tame classification.
For more videos visit http;//video.ias.edu
wn.com/Geometry Of Complex Surface Singularities And 3 Manifolds Neumann
Geometric Structures on 3-manifolds
Topic: Geometry of complex surface singularities and 3-manifolds
Speaker: Walter Neumann
Date: Tuesday, January 26
I will talk about bilipschitz geometry of complex algebraic sets, focusing on the local geometry in dimension 2 (complex surface singularities), where the topological classification has long been understood in terms of 3-manifolds, while the analytic classification, even in this low dimension, is still very much out of reach. Bilipschitz geometry lies between the extremes of topological and analytic type. Although it leads to a "tame" classification (as first conjectured by Siebenmann and Sullivan in the 70's and proved by Mostowski in the mid-eighties), it is only in the last decade that the richness of the bilipschitz classification has become evident. I will describe work of Lev Birbrair, Anne Pichon and myself, on bilipschitz classification of complex surface germs in terms of refined JSJ decomposition of their 3-manifold links plus associated rational invariants, and if time permits, also the relationship of the classification with Zariski equisingularity, which was Zariski's approach to a tame classification.
For more videos visit http;//video.ias.edu
- published: 26 Jan 2016
- views: 195
Volumes of Hyperbolic 3-Manifolds - David Gabai
- Order: Reorder
- Duration: 51:05
- Updated: 01 Dec 2011
- views: 3663
2010 Clay Research Conference
Volumes of hyperbolic 3-manifolds
David Gabai
Clay Mathematics Institute
http://www.claymath.org/video
2010 Clay Research Conference
Volumes of hyperbolic 3-manifolds
David Gabai
Clay Mathematics Institute
http://www.claymath.org/video
wn.com/Volumes Of Hyperbolic 3 Manifolds David Gabai
2010 Clay Research Conference
Volumes of hyperbolic 3-manifolds
David Gabai
Clay Mathematics Institute
http://www.claymath.org/video
- published: 01 Dec 2011
- views: 3663
3-Manifold Groups - Ian Agol
- Order: Reorder
- Duration: 62:02
- Updated: 13 Oct 2015
- views: 380
Ian Agol
University of California, Berkeley; Distinguished Visiting Professor, School of Mathematics
October 12, 2015
http://www.math.ias.edu/calendar/event/8...
Ian Agol
University of California, Berkeley; Distinguished Visiting Professor, School of Mathematics
October 12, 2015
http://www.math.ias.edu/calendar/event/89554/1444672800/1444676400
I'll review recent progress on properties of 3-manifold groups, especially following from geometric properties. Then I'll discuss some open questions regarding 3-manifold groups, including their profinite completions, torsion in covers, orderability, and PD(3) groups.
More videos on http://video.ias.edu
wn.com/3 Manifold Groups Ian Agol
Ian Agol
University of California, Berkeley; Distinguished Visiting Professor, School of Mathematics
October 12, 2015
http://www.math.ias.edu/calendar/event/89554/1444672800/1444676400
I'll review recent progress on properties of 3-manifold groups, especially following from geometric properties. Then I'll discuss some open questions regarding 3-manifold groups, including their profinite completions, torsion in covers, orderability, and PD(3) groups.
More videos on http://video.ias.edu
- published: 13 Oct 2015
- views: 380
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60:54
The geometry of 3-manifolds
Public evening lecture by McMullen at Harvard University Science Center in 2006. Also at ...
published: 18 Oct 2015
The geometry of 3-manifolds
The geometry of 3-manifolds
- Report rights infringement
- published: 18 Oct 2015
- views: 338
58:41
The Mystery of 3-Manifolds - William Thurston
2010 Clay Research Conference
The Mystery of 3-Manifolds
William Thurston
Clay Mathemati...
published: 27 Nov 2011
The Mystery of 3-Manifolds - William Thurston
The Mystery of 3-Manifolds - William Thurston
- Report rights infringement
- published: 27 Nov 2011
- views: 38355
6:20
Slices of 3-Manifolds
Various 3-manifolds are embedded in 4-space and are intersected with moving hyper-planes, ...
published: 14 Dec 2012
Slices of 3-Manifolds
Slices of 3-Manifolds
- Report rights infringement
- published: 14 Dec 2012
- views: 1300
14:26
Topology For Beginners: Introduction To 3D Manifolds
I give a gentle introduction to three dimensional manifolds by discussing simple surfaces,...
published: 23 Jan 2014
Topology For Beginners: Introduction To 3D Manifolds
Topology For Beginners: Introduction To 3D Manifolds
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- published: 23 Jan 2014
- views: 6157
45:40
Low-dimensional dynamics and hyperbolic 3-manifolds - Carvalho
Geometric Structures on 3-manifolds
Topic: Low-dimensional dynamics and hyperbolic 3-manif...
published: 20 Jan 2016
Low-dimensional dynamics and hyperbolic 3-manifolds - Carvalho
Low-dimensional dynamics and hyperbolic 3-manifolds - Carvalho
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- published: 20 Jan 2016
- views: 98
46:54
The evolution of geometric structures on 3-manifolds.
Lecture by Curtis McMullen on the Thurston's geometrization conjecture and its proof, at t...
published: 18 Oct 2015
The evolution of geometric structures on 3-manifolds.
The evolution of geometric structures on 3-manifolds.
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- published: 18 Oct 2015
- views: 1187
43:47
Finite Topology Surfaces Of Constant Mean Curvature In Hyperbolic 3-Manifolds
XIX School on Differential Geometry
Álvaro Krüger Ramos (UFRS) - Finite Topology Surfaces...
published: 26 Jul 2016
Finite Topology Surfaces Of Constant Mean Curvature In Hyperbolic 3-Manifolds
Finite Topology Surfaces Of Constant Mean Curvature In Hyperbolic 3-Manifolds
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- published: 26 Jul 2016
- views: 6
58:45
Geometry of complex surface singularities and 3-manifolds - Neumann
Geometric Structures on 3-manifolds
Topic: Geometry of complex surface singularities and 3...
published: 26 Jan 2016
Geometry of complex surface singularities and 3-manifolds - Neumann
Geometry of complex surface singularities and 3-manifolds - Neumann
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- published: 26 Jan 2016
- views: 195
51:05
Volumes of Hyperbolic 3-Manifolds - David Gabai
2010 Clay Research Conference
Volumes of hyperbolic 3-manifolds
David Gabai
Clay Mathema...
published: 01 Dec 2011
Volumes of Hyperbolic 3-Manifolds - David Gabai
Volumes of Hyperbolic 3-Manifolds - David Gabai
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- published: 01 Dec 2011
- views: 3663
62:02
3-Manifold Groups - Ian Agol
Ian Agol
University of California, Berkeley; Distinguished Visiting Professor, School of M...
published: 13 Oct 2015
3-Manifold Groups - Ian Agol
3-Manifold Groups - Ian Agol
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- published: 13 Oct 2015
- views: 380
The geometry of 3-manifolds...
The Mystery of 3-Manifolds - William Thurston...
Slices of 3-Manifolds...
Topology For Beginners: Introduction To 3D Manifol...
Low-dimensional dynamics and hyperbolic 3-manifold...
The evolution of geometric structures on 3-manifol...
Finite Topology Surfaces Of Constant Mean Curvatur...
Geometry of complex surface singularities and 3-ma...
Volumes of Hyperbolic 3-Manifolds - David Gabai...
3-Manifold Groups - Ian Agol...
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Lyrics list:lyrics
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Minefields
Minefields
This is dangerous. Open up your head feel the shell shock.
This is dangerous. I walk the mindfields so watch your head rock.
...
I walk through mindfields ha ha ha
...
I walk through mindfields so watch your head rock.
photo: WN / Periasamy
Hot air balloon carrying at least 16 people crashes in Texas
Edit San Francisco Chronicle 30 Jul 2016
LOCKHART, Texas (AP) — Federal officials say a hot air balloon carrying at least 16 people caught on fire and crashed in Central Texas, and it is unclear whether there are injuries or deaths. Lynn Lunsford with the Federal Aviation Administration said in a statement that the accident happened about 8.40 a.m. Saturday near Lockhart, Texas, when the hot air balloon crashed into a pasture ... Lockhart is about 30 miles south of Austin ... ....
photo: Creative Commons / Gage Skidmore
Convention over, Clinton faces hacking, Trump criticism
Edit The Virginian-Pilot 30 Jul 2016
HARRISBURG, Pa. (AP) — A giddy if exhausted Hillary Clinton embarked on a post-convention Rust Belt bus tour just hours after becoming the first female presidential nominee of a major political party ... ....
photo: Public Domain / Avibliz
Stephen Hawking Issues Warning For What Brexit Could Mean For The Human Species
Edit WorldNews.com 29 Jul 2016
Stephen Hawking has penned a thoughtful appeal for post-Brexit Britain to reconsider the role that wealth plays in society, warning that isolationism and envy could even lead to the end of the human species, Mashable reports. In a Guardian essay, the world-renowned physicist made the case for a more comprehensive and generous definition of wealth "to include knowledge, natural resources and human capacity." ... ....
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FDA approves study of new aneurysm device developed by Sanford Health (Sanford Health)
Edit Public Technologies 30 Jul 2016
Unitary Manifold Stent Graft System designed by Dr ... The device, the Unitary Manifold Stent Graft System, was developed by Patrick Kelly, M.D ... The Unitary Manifold Stent Graft System will be studied under an existing physician-sponsored investigational device exemption (PS-IDE - NCT02294435) SVI is using to evaluate the safety of the Valiant TAAA Stent Graft System....
Russia's Rise To Cyberwar Superpower
Edit Slashdot 30 Jul 2016
"The Russians are top notch," says Chris Finan, an ex-director at DARPA for cyberwar research, now a CEO at security firm Manifold Technology, and a former director of cybersecurity legislation in the Obama administration. "They are some of the best in the world... The Russian link is further supported by U.S ... ....
Jason Bourne review: Action hero back for more mayhem
Edit Belfast Telegraph 29 Jul 2016
Share Go To ... Jason Bourne is a deceptive slow burn for the opening half hour, but once the script lights the fuse on manifold deceptions, there's little time to breathe between plot revelations and bloodthirsty retribution ... ....
EDMC rolls back property tax hike
Edit Deccan Herald 29 Jul 2016
Timely payment of tax to get rebate. The East Delhi Municipal Corporation on Thursday rolled back a hike in property tax, and announced a 15 per cent rebate on timely payment of house tax. Residents of East Delhi can pay property tax by August 15 ... But after the roll back of ... According to report almost 65 colonies were upgraded to higher categories, resulting in increase in property tax manifold ... People discouraged ... ....
TN facing tough financial situation, admits finance minister
Edit The Times of India 29 Jul 2016
Chennai. Admitting that Tamil Nadu was passing through a tough financial phase, finance minister O Panneerselvam in his reply to the budget debate in assembly on Friday said, "We will have to live with it" ... He said the tax revenue has grown by 68% in the last five years but during the same period expenditure increased by 93% ... As for expenditure, subsidy and transfers have increased manifold," said the minister ... RELATED....
Federal Minister Riaz Pirzada lauds Wafaqi Mohtasib’s performance Islamabad: July 28, 2016 (Ministry of Information, Broadcasting and National Heritage of the Islamic Republic of Pakistan)
Edit Public Technologies 29 Jul 2016
Federal Minister for Inter-Provincial Coordination Mian Riaz Hussain Pirzada was given briefing about Wafaqi Mohtasib initiative of Swift Complaint Resolution (SCR) to address the complaints of citizens at district and tehsil level.Federal Minister Mian Riaz Hussain Pirzada visited Wafaqi Mohtasib Secretariat, Islamabad on Thursday.Federal ......
Iranian-Swedish Researcher Among Winners Of Top European Math Prize
Edit National Public Radio 28 Jul 2016
Iranian-Swedish mathematician Sara Zahedi has won a prestigious European Mathematical Society Prize, the top honor for young European mathematicians awarded once every four years ... Zahedi will receive a check for 5,000 euros. Previous laureates include Grigori Perelman, the subject of the controversial 2006 New Yorker profile "Manifold Destiny," and Cédric Villani, who gave a TED talk in February titled "What's so sexy about math?" ... ....
Waterproof backpacks for new look kawariyas
Edit The Times of India 28 Jul 2016
Cuttack. Gone are the days when 'kanwariyas' embarked upon the spiritual journey to Shiva temples in simple saffron clothes. Nowadays, the market is flooded with trendy clothes and designer accessories such as T-shirts, trousers, illuminated 'kanwars' (poles) and waterproof backpacks for the kanwariyas. In the last five years, the number of kanwariyas has increased manifold. For youths, it has become a kind of adventure trip ... RELATED....
We trained together and stayed like brothers
Edit The Hindu 28 Jul 2016
The controversy surrounding Narsingh Yadav and Sushil Kumar is not good for the country. Such incidents bring a bad name and affect other wrestlers. It will leave a bad impact on the sport. A top level inquiry should be conducted into the whole episode so that the truth comes out ... If it is not handled properly, this may happen again ... In our time, there was no system, no support ... Overall, wrestling’s popularity has increased manifold....
AasaanJobs upgrades mobile web to internet independent version
Edit The Times of India 28 Jul 2016
New Delhi, July 28 (ANI). Online aggregator for entry level job search and recruitment AasaanJobs announced upgrading its mobile web version that works without net connectivity, which will now be able to intercept customer requests with the integration of service worker ... We are confident that this development will help increase user penetration within the realm of mobile internet by manifold," added Gupta ... (ANI) ... RELATED....
Graco Enhances Electric Dyna-Star® Pump Offering (Graco Inc)
Edit Public Technologies 28 Jul 2016
(Source. Graco Inc). Improved pump reduces contamination and increases operator safety. MINNEAPOLIS--(BUSINESS WIRE)--Jul. 28, 2016-- Graco Inc.(NYSE ... Contamination in automatic lubrication systems can degrade performance of the components and lead to shortened life ... The combination of the Electric Dyna-Star pump's auto-fill shut-off and low-level sensor with a remote fill manifold provides additional peace of mind ... ABOUT GRACO. Graco Inc....
ReligiousTrip.com grows tourism in India with integrated travelling services
Edit The Times of India 27 Jul 2016
New Delhi, July 27 (ANI) ... ReligiousTrip.com's services are all-inclusive and are facilitated via special pricing and discounts offered on its website. This strategic plan significantly contributes in generating substantial traffic on its portal and as a result, helps the company in steadily maximizing its business reach manifold by bringing faith and technology on the same platform ... (ANI) ... Click here to download it for your device....
Air India defends decision to slash prices for last minute travel tickets
Edit DNA India 27 Jul 2016
--> Thu, 28 Jul 2016-12.29am , New Delhi , PTI. According to Air India, they are only trying to fill the seats. Government-run Air India on Wednesday rejected the charge that it was driving air fares down by offering cheaper ticket prices for the last minute travel against the industry's practise of increasing them manifold. "We are not driving down air fares ... The move, however, attracted criticism from the industry ... ....
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