Room 232
Amado Mathematics Building
Technion - Israel Institute of Technology
Haifa, Israel

Symplectic Field Theory (SFT) is a joint project initiated by A. Givental, H. Hofer and the speaker. It attempts to present the theory holomorphic curves invariants of symplectic manifolds, called Gromov-Witten invariants, in the spirit of a topological field theory. The original goal of the theory was applications to symplectic and contact topology. However, as it became now clear, SFT has much wider mathematical connections and applications.

Lecture I:  Monday, 12 May 2003  at 15:30

INTRODUCTION TO SYMPLECTIC FIELD THEORY

The first lecture of the series will be devoted to the geometric set-up and the algebraic formalism of the theory.

Lecture II:  Wednesday, 14 May 2003  at 15:30

In the second lecture we will explain why integrable systems naturally emerge in the context of SFT.

SYMPLECTIC FIELD THEORY AND INTEGRAL SYSTEMS

Lecture III:  Thursday, 15 May 2003  at 15:30

SYMPLECTIC FIELD THEORY AND INTEGRABLE SYSTEMS

In the last lecture we will discuss some possible applications of SFT to low-dimensional topology.