Apr 20 at 17:30 in 507

Title: Polyhedral decompositions and the noncommutative minimal model program

Abstract: I will present a new family of semiorthogonal decompositions for equivariant derived categories of coherent sheaves. It combines methods developed by Špenko and van den Bergh with earlier work by me and Ballard-Favero-Katzarkov. These semiorthogonal decompositions allow one to compare the derived categories of different GIT quotients, and suggest an approach to studying the derived categories of GIT quotients that is analogous to the noncommutative minimal model program. I will explain the broader picture, which is largely conjectural. This is joint work with Špela Špenko and Kimoi Kemboi.