Modular representation theory and the Hecke category
Categorical Structures in Harmonic Analysis November 17, 2014 - November 21, 2014
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC Secondary Mathematics Subject Classification No Secondary AMS MSC
The Hecke category is a monoidal category which controls several categories in representation theory. For example, appearances of Kazhdan-Lusztig polynomials usually point to an action of the Hecke category. I will discuss progress (partly joint with Ben Elias and Xuhua He) and conjectures (joint with Simon Riche) in the representation of reductive algebraic groups in characteristic p, which arise from studying the Hecke category modulo p.
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