July 20, 2024
Symplectic Topology, Geometry, and Gauge Theory Program

Coxeter Lecture Series
March 12, 13, 14, 2001, 3:00 - 4:00 p.m.

Article on Lecture

Alexander B. Givental

Professor of Mathematics,
University of California at Berkeley
California Institute of Technology
M.S., Institute of Oil and Gas Industry (Moscow), 1980
Ph.D., Moscow State University, 1987

Gromov - Witten invariants in higher genus

The objective of the series is to introduce a formula expressing enumerative information about higher genus holomorphic curves in complex projective spaces (and conjecturally --- in many other complex algebraic manifolds) in terms of such information in genus zero. The subject intertwines the Witten-Kontsevich intersection theory on Deligne-Mumford moduli spaces of Riemann surfaces and axiomatic 2-dimensional topological fields theory with elementary representation theory of loop groups.