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p-Kazhdan- Lusztig theory

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  • UserChris Bowman-Scargill (York)
  • ClockWednesday 19 October 2022, 16:30-17:30
  • HouseMR12.

If you have a question about this talk, please contact Christopher Brookes.

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.

This talk is part of the Algebra and Representation Theory Seminar series.

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