The abelian/nonabelian correspondence in Gromov-Witten theory II

  • Date: 03/13/2008

Bumsig Kim, Korea Institute for Advanced Study


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.

Other Information: 

PIMS Lecture Series (Lecture 2)