|Date: Monday, April 01, 2019
Location: 4096 East Hall (4:00 PM to 6:00 PM)
Title: Quasimap wall-crossing for GIT quotients
Abstract: For a large class of GIT quotients X=W//G, Ciocan-Fontanine--Kim--Maulik and many others have developed the theory of epsilon-stable quasimap invariants. They are conjecturally equivalent to the Gromov--Witten invariants of X via explicit wall-crossing formulae, which have been proved in many cases, including targets with good torus action and complete intersections in a product of projective spaces.
In this talk, we will give a proof for all targets in all genera. The main ingredient is the construction of some moduli space with C^* action whose fixed-point loci precisely correspond to the terms in the wall-crossing formulae.
Speaker: Yang Zhou