Proceedings, Vol. 2

ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress. Pass congresses -- Organisation of the congress -- Committees -- Opening ceremony, 19 August 2010 -- Closing ceremony, 27 August 2010 -- The work of Elon Lindenstrauss / Harry Furstenberg -- The work of Ngo Bao Chau / James Arthur -- The work of Stanislav Smirnov / Harry Kesten -- The work of Cedric Villani / Horng-Tzer Yau -- The work of Daniel A. Spielman / Gil Kalai -- The work of Yves Meyer / Ingrid Daubechies -- The work of Louis Nirenberg / Yan Yan Li -- Exchangeability and continuum limits of discrete random structures / David J. Aldous -- Dynamics of renormalization operators / Artur Avila -- Highly composite / R. Balasubramanian -- Endoscopy theory of automorphic forms / Ngo Bao Chau -- On the controllability of nonlinear partial differential equations / Jean-Michel Coron --Probabilistically checkable proofs and codes / Irit Dinur -- Ergodic structures and non-conventional ergodic theorems / Hillel Furstenberg -- Isogeometric analysis / Thomas J.R. Hughes -- Recent developments on the global behavior to critical nonlinear dispersive equations / Carlos E. Kenig -- Arithmetic of linear algebraic groups over two-dimensional fields / R. Parimala --Representations of higher adelic groups and arithmetic / A.N. Parshin -- Backward stochastic differential equation, nonlinear expectation and their applications / Shige Peng -- "Indian" rules, "Yavana" rules : foreign identity and the transmission of mathematics / Kim Plofker -- Riemannian manifolds of positive curvature / Richard Schoen -- On the cohomology of algebraic varieties / Claire Voisin -- Strong axioms of infinity and the search for V / W. Hugh Woodin -- Equidistribution in homogeneous spaces and number theory / Elon Lindenstrauss -- Cluster categories / Idun Reiten -- Discrete complex analysis and probability / Stanislav Smirnov -- Large deviations / S.R.S. Varadhan -- Landau damping / Cedric Villani -- A continuous path from school calculus to university analysis / W.T. Gowers -- Relations between the discipline and the school mathematics in Latin American and Caribbean countries / Carlos Bosch -- Live mathematics and classroom processes / R. Ramanujam -- Mathematical knowledge in processes of teaching and learning at school - its specific nature and epistemological status / Heinz Steinbring -- Symbolic power and mathematics / Ole Skovsmose -- Communicating mathematics to society at large / Gunter M. Ziegler -- The role of mathematicians in popularization of mathematics / Christine Rousseau -- Round table : the use of metrics in evaluating research / J.M. Ball -- Mechanisms for strengthening mathematics in developing countries / Stephen Huggett A four-volume set of ICM 2010 proceedings that contains articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. V. 1. Plenary Lectures And Ceremonies -- V. 2. Invited Lectures -- V. 3. Invited Lectures -- V. 4. Invited Lectures. Editor, Rajendra Bhatia ; Co-editors, Arup Pal ... [et Al.]. Includes Bibliographical References And Index.