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Fock space categorification, Soergel bimodules, and modular representation representation theory in type A

Representations of Finite and Algebraic Groups April 09, 2018 - April 13, 2018

April 10, 2018 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Ben Elias (University of Oregon)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

8-Elias

Abstract

We give an executive summary of recent work with Ivan Losev, which connects modular representation theory in type A with a diagrammatic category of singular Soergel bimodules. As a consequence, various multiplicities in modular representation theory are encoded by p-Kazhdan-Lusztig polynomials. All this is in spite of the observation that the two sides of this story categorify different objects: one categorifies Fock space, while the other a space spanned by virtual partitions. We explain a magic trick due to Losev which allows one to compare this different categorical representations.

Supplements
31120?type=thumb Notes 1.49 MB application/pdf Download
Video/Audio Files

8-Elias

H.264 Video 8-Elias.mp4 458 MB video/mp4 Download
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