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
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC Secondary Mathematics Subject Classification No Secondary AMS MSC
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.
Please report video problems to firstname.lastname@example.org.
See more of our Streaming videos on our main VMath Videos page.