Clay Mathematics Institute Home
The topic of this year's 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.
| 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 |
| June 8, Institut Océanographique | ||
| 9:30 | Cédric Villani, James Carlson | Welcome, opening remarks |
| 9:35 | Michael Atiyah, University of Edinburgh | Geometry in 2, 3 and 4 Dimensions |
| 10:05 | John Morgan, Simons Center for Geometry and Physics, Stony Brook University | History of the Poincaré Conjecture |
| 10:55 | Break | |
| 11:15 | Curtis McMullen, Harvard University | The evolution of geometric structures on 3-manifolds |
| 12:10 | Ceremony | |
| 12:30 | Lunch time | |
| 15:15 | William Thurston, Cornell University | The Mystery of 3-Manifolds |
| 16:10 | Stephen Smale, City University of Hong Kong | Problems in Topology, Post-Perelman |
| 17:00 | Break | |
| 17:20 | Simon Donaldson, Imperial College, London | Invariants of manifolds and the classification problem |
| 18:15 | Reception | École normale supérieure |
| June 9, Institut Henri Poincaré | ||
| 9:30 | Cédric Villani, IHP; James Carlson, CMI | Remarks |
| 9:35 | David Gabai, Princeton University | Volumes of hyperbolic 3-manifolds |
| 10:30 | Mikhail Gromov, IHES and Courant Institute of Mathematical Sciences (NYU) | What is a manifold? |
| 11:20 | Break | |
| 11:40 | Bruce Kleiner, Courant Institute of Mathematical Sciences (NYU) | Collapsing with lower curvature bounds |
| 12:30 | Lunch time | |
| 14:00 | Gérard Besson, Institut Fourier, Grenoble | Collapsing irreducible 3-manifolds with nontrivial fundamental group |
| 14:55 | Gang Tian, Beijing University and Princeton University | Metric geometry and analysis of 4-manifolds |