Fields medallists' lectures (World Scientific, 2003)
Includes bibliographical references
Quasiconformal mappings, Teichmüller spaces, and Kleinian groups - L.V. Ahlfors -- - Calcul infinitesimal stochastique - L. Schwartz -- - On Kähler varieties of restricted type - K. Kodaira -- - Rational approximations to algebraic numbers - K.F. Roth -- - Autobiography - R. Thom -- - Looking forward from ICM 1962 - L. Hörmander -- - 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 -- - Rôle of integrable models in the development of mathematics - S. Novikov -- - Pattern theory: a unifying perspective - D. Mumford -- - Oppenheim conjecture - G.A. Margulis -- - Brisure de symétrie spontanée et géométrie 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