Geometric Representation Theory Seminar

Wednesday, September 18, 2019 at 3:00pm to 4:00pm

Building 2, 2-449
182 MEMORIAL DR, Cambridge, MA 02139

Ivan Danilenko (Columbia)

"Slices of the Affine Grassmannian and Quantum Cohomology"

The Affine Grassmannian is an ind-scheme associated to a reductive group G. It has a cell structure similar to the one in the usual Grassmannian. Transversal slices to these cells give an interesting family of Poisson varieties. Some of them admit a smooth symplectic resolution and have an interesting geometry related to the representation theory of the Langlands dual group. We will focus on equivariant cohomology of such resolutions and will show how the trigonometric Knizhnik-Zamolodchikov equation arises as a quantum differential equation in this setting.

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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