**DISTINGUISHED
LECTURE SERIES **

**supported by the **

**ELISHA NETANYAHU
INSTITUTE OF ADVANCED STUDIES IN MATHEMATICS**

Professor Yakov
Eliashberg

**Stanford University**

will deliver a series of lectures on

**Symplectic Field Theory**

The lectures will be held in

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.