What has p-Kazhdan—Lusztig theory done for us?

Chris Bowman (University of York)

Wednesday 9th November, 2022 16:00-17:00 Maths 311B


We will discuss recent results in modular Lie theory obtained in the setting of "diagrammatic Hecke categories”.  We will discuss the Kazhdan—Lusztig positivity conjecture, the counter examples to Lusztig’s conjecture, and how p-Kazhdan—Lusztig polynomials can be seen to control the representation theory of braid groups, cyclotomic Hecke algebras, and algebraic groups.  We also discuss when these polynomials can and cannot be explicitly calculated. 

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