Back to Algebraic Geometry Seminar: Spring 2014
Algebraic Geometry Seminar
Date: Thursday, Apr 3, 2014
Time: 3:30PM - 4:30PM
Location: LCB 215
(Thursday) Time/Location: 2pm/LCB 323
Ionut Ciocan-Fontanine
University of Minnesota
Title |
Quasimaps, wall-crossings, and mirror symmetry |
Abstract |
Quasimaps provide compactifications, depending on a stability parameter, for moduli spaces of maps from nonsingular algebraic curves to a large class of GIT quotients. These compactifications enjoy good properties and in particular they carry virtual fundamental classes. As the parameter varies, the resulting invariants are related by wall-crossing formulas. I will present some of these formulas in genus zero, and will explain why they can be viewed as generalizations (in several directions) of Givental’s toric mirror theorems. I will also describe extensions of wall-crossing to higher genus, and (time permitting) to orbifold GIT targets as well. The talk is based on joint works with Bumsig Kim, and partly also with Daewoong Cheong and with Davesh Maulik. |
Algebraic Geometry