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Algebra and Geometry Seminar

Thursday, January 18, 2024
3:45pm to 5:00pm
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Linde Hall 187
Asymptotic characters of modules for parity KLR algebras
Anne Dranowski, Department of Mathematics, USC,

It has been shown that a category O associated with the affine Grassmannian is equivalent to the category of modules for a decorated KLR algebra. The affine Grassmannian gives rise to a perfect basis called the Mirkovic-Vilonen basis, while the KLR algebra gives rise to a perfect basis called Lusztig's canonical basis. In previous work I used equivariant volumes to compare such bases. This talk will explain a relevant notion of volume for well-behaved module categories such as KLR-mod, and how it is used (in joint work in progress, with Alexis Leroux-Lapierre) to study the MV-KLR change of basis.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].