Northern California Symplectic Geometry Seminar: Variation of toric GIT quotient and Variation of Lagrangian skeleton

Seminar | February 3 | 2:30-3:30 p.m. | 891 Evans Hall

 Peng Zhou, UC Berkeley

 Department of Mathematics

It is well-known that the GIT quotient depends on a choice of an equivariant ample line bundle. Various different quotients are related by birational transformations, and their B-models ($D^b Coh$) are related by semi-orthogonal decompositions, or derived equivalences. If we apply mirror symmetry, it is natural to ask how the A-models of the mirror of various quotients are related. We give a description in the case of toric variety, where the A-side is described using constructible sheaves and Lagrangian skeleton. This is still a work in progress.