11/6 at 17:30 in 507

Konstantin Aleshkin

Title: Crossing the walls in abelian GLSM.

I will start by explaining the general Gauged Linear Sigma Models setup. The main subject of the talk will be quasi central charges - certain generating functions of genus 0 abelian GLSM invariants associated to matrix factorizations. I will explain how to produce integral representations for these objects and use them to relate GLSM with different stability conditions. In the second part of the talk I will discuss more recent results: how to use a version of homological mirror symmetry to compute central charges from the mirror model, how to use GLSM to reproduce disk potentials in Gromov-Witten theory, and K-theoretic generalizations of central charges.