The abelian/nonabelian correspondence in Gromov-Witten theory I

  • Date: 03/06/2008

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


University of British Columbia


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.