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Cherednik algebras, Hilbert scheme and mirabolic D-modules

Algebra & Discrete Mathematics

Speaker: Xinchun Ma, University of Chicago
Related Webpage: https://mathematics.uchicago.edu/people/profile/xinchun-ma/
Location: zoom zoom
Start time: Mon, Apr 18 2022, 11:00AM

Using the mirabolic D-modules with Hodge filtrations, we compute the coherent sheaves on the Hilbert scheme of n points on the plane corresponding to the finite-dimensional representations of type A Cherednik algebras under the Gordan-Stafford map. The result contains certain combinatorial numbers as predicted by Gorsky and Negut.

Notes from the talk: https://math.ucdavis.edu/~egorskiy/AGADM/xinchun_m...