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
Abstract:
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.
