Geometric Representation Theory Seminar
Monday, October 08, 2018 at 5:30pm to 6:30pm
Joel Kamnitzer (Toronto)
"Mirkovic-Vilonen cycles, preprojective algebra modules and Duistermaat-Heckman measures"
ia the geometric Satake correspondence, the Mirkovic-Vilonen cycles give bases for representations of semisimple Lie algebras. Similarly, by work of Lusztig, generic preprojective algebra modules give bases for these representations as well. It is a long-standing open problem to compare these bases. We will explain a new geometric way to make this comparison. As an application, we will show that these bases do not agree in SL_6. We will also explain the relationship with the work of Braverman-Finkelberg-Nakajima on Coulomb branches.
[The seminar will meet on Columbus day]