Fields medallists' lectures / editors, Michael Atiyah, Daniel Iagolnitzer.

• Superior document: World Scientific series in 20th century mathematics ; vol. 9
• Author: ProQuest (Firm)
• TeilnehmendeR: Atiyah, Michael Francis, 1929-; Iagolnitzer, Daniel.; ProQuest (Firm)
• Year of Publication: 2003
• Edition: 2nd ed.
• Language: English
• Series: World Scientific series in 20th century mathematics ; vol. 9.
• Physical Description: xv, 806 p. :; ill.

Table of Contents

Quasiconformal mappings, Teichmuller spaces, and Kleinian groups / L.V. Ahlfors -- Calcul infinitesimal stochastique / L. Schwartz -- On Kahler varieties of restricted type / K. Kodaira -- Rational approximations to algebraic numbers / K.F. Roth -- Autobiography / R. Thom -- Looking forward from ICM 1962 / L. Hormander -- The index of elliptic operators / M.F. Atiyah -- A survey of some recent developments in differential topology / S. Smale -- Effective methods in the theory of numbers ; Effective methods in Diophantine problems -- Effective methods in Diophantine problems. II -- Effective methods in the theory of numbers/Diophantine problems / A. Baker -- Role of integrable models in the development of mathematics / S. Novikov -- Pattern theory: a unifying perspective / D. Mumford -- Oppenheim conjecture / G.A. Margulis -- Brisure de symetrie spontanee et geometrie du point de vue spectral / A. Connes -- Remarks on gauge theory, complex geometry and 4-manifold topology / S.K. Donalson -- Betti number estimates for nilpotent groups / M.H. Freedman -- A polynomial invariant for knots via von Neumann algebras -- Index for subfactors / V.F.R. Jones -- Birational classification of algebraic threefolds / S. Mori -- Geometry and quantum field theory / E. Witten -- Hamiltonian methods in nonlinear evolution equations / J. Bourgain -- On some recent mthods for nonlinear partial differential equations / P.L. Lions -- Recent developments in dynamics / J.C. Yoccoz -- On the restricted Burnside problem / E.I. Zelmanov -- What is moonshine? / R.E. Borchers -- A new proof of Szemeredi's theorem for arithmetic progressions of length four / W.T. Gowers -- Formal (non)-commutatuve symplectic geometry ; Comments on "Formal (non)-commutative symplectic geometry" / M. Kontsevich -- Rigidity and inflexibility in conformal dynamics / C.T. McMullen -- Open problems in the motivic style homotopy theory, I / V. Voevodsky.