Ionut Ciocan-Fontanine : Moduli spaces of quasimaps

Posted by Mihnea Popa , part of the Algebraic Geometry Seminar.

At

Sept. 24, 2009, 4 p.m.

In

SEO 636

Abstract

I will report on joint work in progress with Bumsig Kim and Davesh Maulik in which we introduce new modular compactifications for the spaces of maps from (varying) curves to a large class of GIT quotients. These compactifications carry virtual classes and the associated integrals give new Cohomological Field Theories. The main goal of the talk is to explain how our work offers a unifying perspective for many earlier constructions. For example, the spaces of stable quotients of Marian, Oprea, and Pandharipande, and the spaces of stable toric quasimaps are recovered as special cases.