Seminars: Ya. M. Eliashberg, Introduction to symplectic topology: from Rolle's theorem to Floer homology

SEMINARS


Meetings of the St. Petersburg Mathematical Society June 24, 2003, St. Petersburg

Introduction to symplectic topology: from Rolle's theorem to Floer homology Ya. M. Eliashberg Stanford University
Abstract: During two decades wich passed since the emergence of symplectic topology, there were discovered many deep connections of the new science with several areas of mathematics and theoretical physics: from Hamiltonian dynamics and low-dimensional topology to algebraic geometry and the theory of integrable PDE's. Main ideas of symplectic toology and some of the applications were discussed.