International Congress of Mathematicians ICM Hyderabad, India. Programme. Thursday, August 19, 2010 Day 1

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International Congress of Mathematicians ICM 2010 Hyderabad, India Programme Thursday, August 19, 2010 Day 1 09:30-12:30 Opening Ceremony Halls 3 & 4 Award of Fields Medals, and the Nevanlinna, Gauss and Chern Prizes 12:30-14:00 Lunch 14:00-16:30 Laudations Hall 4 Chair: J. Palis Junior 14:00-14:25 H. Furstenberg On the work of Fields Medallist Elon Lindenstrauss 14:30-14:55 J. Arthur On the work of Fields medallist Ngo Bao Chau 15:00-15:25 H. Kesten On the work of Fields Medallist Stanislav Smirnov 15:30-15:55 H-T. Yau On the work of Fields Medallist Cedric Villani 16:00-16:25 G. Kalai On the work of Nevanlinna Prize Winner Daniel Spielman 16:45-17:45 Abel Lecture Hall 4 S. R. S. Varadhan Large Deviations Chair: K. R. Parthasarathy 1

Friday, August 20, 2010 Day 2 09:30-12:30 Event connected to the Hall 4 Gauss and Chern Prizes Chair: L. Lovasz, President, IMU 09:30-09:35 Welcome by President, IMU 09:35-09:45 Greetings from Prof. J. Simons (on video) 09:45-10:05 Ms. May Chu Prof. Chern - Reminiscences 10:05-10:35 Robert Bryant S. S.Chern - His mathematics 10:35-11:20 Lecture on the work of L. Nirenberg, the Chern Prize winner Yanyan Li 11:20-11:45 Coffee Break 11:45-12:30 Lecture on the work of Y. Meyer, the Gauss Prize winner I. Daubechies Fields Medallist Stanislav Smirnov Discrete complex analysis and probability Chair: H. Kesten 15:00-18:00 Invited Talks, Panel Discussion 18:00-19:30 Dance Programme Hall 3 20:00 Conference Dinner 2

Saturday, August 21, 2010 Day 3 09:00-10:00 Plenary Lecture 1 Hall 4 Artur Avila Dynamics of renormalization operators Chair: E. Ghys 10:15-11:15 Plenary Lecture 3 Hall 4 Irit Dinur Probabilistically checkable proofs and codes Chair: H. Lenstra 11:30-12:30 Plenary Lecture 3 Hall 4 Carlos Kenig The global behaviour of solutions to critical nonlinear dispersive equations Chair: J. Ball Nenvanlinna Prize Winner Daniel Spielman Algoritms, graph theory and linear equations in Laplacian matrices Chair: G. Kalai 15:00-18:00 Invited Talks, Poster Sessions 18:00-20:00 Panel Discussion: Pipeline Report Hall 4 3

Sunday, August 22, 2010 Day 4 09:00-10:00 Plenary Lecture 4 Hall 4 David Aldous Exchangeability and continuum limits of discrete random structures Chair: Z-M. Ma 10:15-11:15 Plenary Lecture 5 Hall 4 R. Parimala Arithmetic of linear algebraic groups over two-dimensional fields Chair: S. Ramanan Fields Medallist Ngo Bao Chau Endoscopy of automorphic forms Chair: J. Arthur 15:00-18:00 Invited Talks, Panel Discussion 18:00-19:00 Short Communications 4

Monday, August 23, 2010 Day 5 Free Day Tuesday, August 24, 2010 Day 6 09:00-10:00 Plenary Lecture 7 Hall 4 A. N. Parshin Representations of higher adelic groups and arithmetics Chair: M. S. Narasimhan 10:15-11:15 Plenary Lecture 8 Hall 4 Jean-Michel Coron On the controllability of nonlinear partial differential equations Chair: L. Nirenberg 11:30-12:30 Plenary Lecture 9 Hall 4 Shige Peng Backward stochastic differential equations, nonlinear expectations and their applications Chair: S. R. S. Varadhan Fields Medallist Cedric Villani Interacting particle systems and Landau damping Chair: E. Ghys 15:00-18:00 Invited Talks 18:00-20:00 Short Communications 5

Wednesday, August 25, 2010 Day 7 09:00-10:00 Plenary Lecture 10 Hall 4 Stanley Osher New algorithms in image science Chair: M. F. Wheeler 10:15-11:15 Plenary Lecture 11 Hall 4 Nicolai Reshetikhin Mathematics of quantum field theory Chair: H. Araki 11:30-12:30 Plenary Lecture 12 Hall 4 Claire Voisin On the cohomology of algebraic varieties Chair: V. B. Mehta Fields Medallist Elon Lindenstaruss Equidistribution in homogeneous spaces and number theory Chair H. Furstenberg 15:00-19:00 Invited Talks, Panel Discussion 19:00 Concert Hall 4 6

Thursday, August 26, 2010 Day 8 09:00-10:00 Plenary Lecture 13 Hall 4 Thomas J. R. Hughes Isogeometric analysis Chair: R. Jeltsch 10:15-11:15 Plenary Lecture 14 Hall 4 Peter Jones Eigenfunctions and coordinate systems on manifolds Chair: I. Daubechies 11:30-12:30 Plenary Lecture 15 Hall 4 Kim Plofker Indian rules, Yavana rules: foreign identity and the transmission of mathematics Chair: Bill Casselman 13:45-14:45 Plenary lecture 16 Hall 4 Hugh Woodin Strong axioms of infinity and the search for V Chair: J. Nesetril 15:00-18:00 Invited Talks 18:00-20:00 Round Table: Hall 4 Use of metrics in evaluating research 7

Friday, August 27, 2010 Day 9 09:00-10:00 Plenary Lecture 17 Hall 4 Hillel Furstenberg Ergodic structures and non-conventional ergodic theorems Chair: M. S. Raghunathan 10:15-11:15 Plenary Lecture 18 Hall 4 R. Balasubramanian Highly composite Chair: J-M. Deshouillers 11:30-12:30 Plenary Lecture 19 Hall 4 Richard Schoen Riemannian manifolds of positive curvature Chair: M. de Leon 13:45-14:45 Emmy Noether Lecture Hall 4 Idun Reiten Cluster categories Chair: C. Voisin 15:00-18:00 Invited Talks 18:00 Closing Ceremony Hall 4 8