MS Seminar (Mathematics - String Theory)

Speaker: Edward Segal (University College London)
Title: Discriminants and Brane Monodromy
Date: Tue, Nov 21, 2017, 15:30 - 17:00
Place: Seminar Room B
Abstract: Given a toric Calabi-Yau variety, the physics of gauged linear sigma models predicts the action of a large group of autoequivalences on the derived category of the variety. This group is the fundamental group of a certain space, obtained by deleting the GKZ-discriminant locus from the dual torus. I will survey previous work on constructing this predicted action, most of which has focused on special cases where the discriminant locus is a hyperplane arrangement. I'll then discuss some work-in-progress (with Alex Kite) which aims to get beyond these cases.