Sara Stephens (Cornell University)

Algebra & Geometry Seminar

Speaker: Sara Stephens (Cornell University)

Title: Wall-Crossing for Quasimaps via Artin Stacks

Abstract: I will discuss a new approach to wall-crossing in enumerative geometry via Artin stacks, where objects of a moduli problem may have positive-dimensional stabilizers. In particular, I'll focus on moduli spaces of quasimaps, which interpolate between stable maps (the setting for Gromov-Witten theory) and stable quasimaps, whose invariants are easier to compute. I will explain how to formulate stability conditions on Artin stacks and present a wall-crossing formula comparing invariants from different chambers.