Apr 10, 2018
Tuesday
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03:30 PM - 04:30 PM
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Fock space categorification, Soergel bimodules, and modular representation representation theory in type A
Ben Elias (University of Oregon)
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- Location
- MSRI: Simons Auditorium
- Video
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- 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
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Notes
1.49 MB application/pdf
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