Algebraic Geometry Seminar
Ionut Ciocan-Fontanine
Univ. of Minnesota
Moduli spaces of quasimaps
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.
Thursday September 24, 2009 at 4:00 PM in SEO 636