September 24, Monday, 14:00, room 413 (extra session)

Svetlana Makarova (MIT)

14:00 Understanding geometric invariant theory

In the first part of the talk, I will define a moduli problem and explain how quotients by reductive groups appear in the picture. I will introduce the notions of good and geometric quotients. In the end (maybe in the last five minutes), I will mention the relation of GIT quotients to stacks and sketch two instances of how convex polytopes appear in the theory — without going into too much detail.

15:30 GIT and derived categories

In the second part of the talk, I will present a new (complicated) proof of the fullness of Kapranov’s exceptional collection on Grassmannians which uses the theory developed by Sam and Halpern—Leistner in their recent paper.