## The abelian/nonabelian correspondence in Gromov-Witten theory I

- Date: 03/06/2008

Lecturer(s):

Ionut Ciocan-Fontanine, University of Minnesota (Lecture 1)

Location:

University of British Columbia

Topic:

Given a "good" action of a reductive complex algebraic group G

on a projective manifold X, the abelian/nonabelian correspondence refers

to a precise relation that exists between topological invariants

(cohomology, K-theory) of the Geometric Invariant Theory quotients X//G

and X//T, where T is a maximal abelian subgroup in G. In this series of

talks, we will explain how to extend this relation to the (genus zero)

Gromov-Witten theories of the two quotients, based on joint works with

Aaron Bertram and Claude Sabbah.