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Clay Research Conference 2010 • Paris

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.

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
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 Video \| HR Version
10:05	John Morgan, Simons Center for Geometry and Physics, Stony Brook University	History of the Poincaré Conjecture Video \| HR Version
10:55	Break
11:15	Curtis McMullen, Harvard University	The evolution of geometric structures on 3-manifolds Video \| HR Version
12:10	Ceremony
12:30	Lunch time
15:15	William Thurston, Cornell University	The Mystery of 3-Manifolds Video \| HR Version
16:10	Stephen Smale, City University of Hong Kong	Problems in Topology, Post-Perelman Video
17:00	Break
17:20	Simon Donaldson, Imperial College, London	Invariants of manifolds and the classification problem Video \| HR Version
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 Video \| HR Version
10:30	Mikhail Gromov, IHES and Courant Institute of Mathematical Sciences (NYU)	What is a manifold? Video \| HR Version
11:20	Break
11:40	Bruce Kleiner, Courant Institute of Mathematical Sciences (NYU)	Collapsing with lower curvature bounds Video \| HR Version
12:30	Lunch time
14:00	Gérard Besson, Institut Fourier, Grenoble	Collapsing irreducible 3-manifolds with nontrivial fundamental group Video \| HR Version
14:55	Gang Tian, Beijing University and Princeton University	Metric geometry and analysis of 4-manifolds Video \| HR Version