SL2 Seminar

Perverse sheaves on Grassmannians via microlocal geometry

I will present a finite-dimensional quiver algebra whose representations are equivalent to the category of Schubert-constructible perverse sheaves on the Grassmannian $Gr(k,n)$. The functor inducing the equivalence is constructed by analyzing the local geometry of the conormal variety $\Lambda$ to the stratification, and gluing the associated categories of microlocal perverse sheaves. I will emphasize the special features of $\Lambda$ which make the Grassmannian much more tractable than other flag varieties. If time permits, I will talk about a graded version of the quiver algebra due to Khovanov and Stroppel.

Date & Time

April 20, 2021 | 4:00pm – 6:00pm

Location

Remote Access

Speakers

Speaker Affiliation

University of Massachusetts, Amherst; Member, School of Mathematics

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