N Alon

Visions in Mathematics: GAFA 2000 Special Volume, Part II pp. 455-983 - Modern Birkhauser Classics N Alon

Marc Notes: Papers presented at a conference held in Tel Aviv from August 25th to September 3rd, 1999. Brief Description: The second of two volumes, this text compiles survey articles borne of a landmark 1999 Tel Aviv conference dedicated to probing the importance, the methods, the past and future of mathematics as well as the connection between mathematics and related areas. Table of Contents: Foreword -- Algebraic and probabilistic methods in discrete mathematics / N. Alon -- Challenges in analysis / R. Coifman -- Noncommutative geometry - Year 2000 / A. Connes -- Introduction to symplectic field theory / Y. Eliashberg, A. Givental, H. Hoper -- Holomorphic curves and real three-dimensional dynamics / H. Hofer -- Perspectives on the analytic theory of L-functions / H. Iwaniec, P. Sarnak -- Combinatorics with a geometric flavor / G. Kalai -- Topics in asymptotic geometric analysis / V. Milman -- Quantum information theory: results and open problems / P. Shor -- Universality, phase transitions and statistical mechanics / T. Spencer -- How classical physics helps mathematics / V. Zakharov -- Addendum: Discussions at the Dead Sea -- Introduction -- Discussion on Mathematical Physics -- Discussion on Geometry -- Discussion on Mathematics in the Real World -- Discussion on Computer Science and Discrete Mathematics -- Reflections on the development of mathematics in the 20th century / D. Kazhdan.