Topology, Algebraic Geometry, and Dynamics Seminar (TADS): Resolution of toric substacks by line bundles revisited

Speaker: Aditya Kumar, University of Maryland

Title: Resolution of toric substacks by line bundles revisited

Abstract:  Locally free resolution of diagonal plays an important role in the study of derived categories of algebraic varieties. Recently, inspired by homological mirror symmetry for toric varieties, Hanlon, Hicks and Lazarev constructed cellular resolutions of structure sheaves of toric substacks by certain line bundles on the ambient smooth toric stacks. In this talk, I will present a more streamlined formulation of their result and a substantial simplification of the proof. If time permits, I will also talk about a generalization to singular toric stacks. This is joint work with Lev Borisov.

Date/Time: Friday, April 17, 1:30pm

Location: Exploratory Hall Room 4208