Clay Research Conference 2010 • Paris
The topic of the 2010 Clay Research Conference was Grigoriy Perelman's proof of the Poincaré conjecture and Thurston's Geometrization conjecture. Perelman's proof, which appeared in a series of three preprints posted on ArXiv.org in 2002 and 2003, is based on Riemannian geometry and Hamilton's theory of Ricci flow. For that work he has been awarded the first Clay Millennium Prize. Please see the March 18 announcement.
The 2010 Clay Research Conference was held in association with the Institut Henri Poincaré.
The evening of June 7 there was a public lecture by Etienne Ghys. Lectures on the first day were held at the Institut Océanographique, 195, rue Saint-Jacques. On the second day, they were held at the Institut Henri Poincaré, 11 rue Pierre et Marie Curie.
Program
| June 7, Institut Océanographique | ||
| 19:30 | Étienne Ghys, CNRS, École normale supérieure, Lyon
Clay Public Lecture (French) "Les maths ne sont qu'une histoire de groupes" – H. Poincaré, 1881 Video | HR Version |
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| June 8, Institut Océanographique | ||
| 9:30 | Cédric Villani, James Carlson
Welcome, opening remarks |
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| 9:35 | Michael Atiyah, University of Edinburgh
Geometry in 2, 3 and 4 Dimensions Video | HR Version |
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| 10:05 | John Morgan, Simons Center for Geometry and Physics, Stony Brook University
History of the Poincaré Conjecture Video | HR Version |
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| 10:55 | Break | |
| 11:15 | Curtis McMullen, Harvard University
The evolution of geometric structures on 3-manifolds Video | HR Version |
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| 12:10 | Ceremony | |
| 12:30 | Lunch time | |
| 15:15 | William Thurston, Cornell University
The Mystery of 3-Manifolds Video | HR Version |
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| 16:10 | Stephen Smale, City University of Hong Kong
Problems in Topology, Post-Perelman Video |
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| 17:00 | Break | |
| 17:20 | Simon Donaldson, Imperial College, London
Invariants of manifolds and the classification problem Video | HR Version |
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| 18:15 | Reception
École normale supérieure |
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| June 9, Institut Henri Poincaré | ||
| 9:30 | Cédric Villani, IHP; James Carlson, CMI
Remarks |
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| 9:35 | David Gabai, Princeton University
Volumes of hyperbolic 3-manifolds Video | HR Version |
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| 10:30 | Mikhail Gromov, IHES and Courant Institute of Mathematical Sciences (NYU)
What is a manifold? Video | HR Version |
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| 11:20 | Break | |
| 11:40 | Bruce Kleiner, Courant Institute of Mathematical Sciences (NYU)
Collapsing with lower curvature bounds Video | HR Version |
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| 12:30 | Lunch time | |
| 14:00 | Gérard Besson, Institut Fourier, Grenoble
Collapsing irreducible 3-manifolds with nontrivial fundamental group Video | HR Version |
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| 14:55 | Gang Tian, Beijing University and Princeton University
Metric geometry and analysis of 4-manifolds Video | HR Version |
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