Geometric Representation Theory Seminar

Monday, October 08, 2018 at 5:30pm to 6:30pm

2-449, 2-449

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]

Event Type

Conferences/Seminars/Lectures

Events By Interest

Academic

Events By School

School of Science

Tags

harmonjo, geo_rep_sem

Website

http://math.mit.edu/seminars/geometri...

Department
Department of Mathematics
Contact Email

anegut@mit.edu

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