Geometric realisations of affine Hecke algebras with unequal parameters

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• Jonas Antor, Universitat Bonn
• Wednesday 30 October 2024, 16:30-17:30
• MR12.

If you have a question about this talk, please contact Adam Jones.

Representations of affine Hecke algebras are of considerable interest since they essentially control the representation theory of p-adic groups. This talk discusses how these algebras can be studied using geometric methods. We will start by reviewing the groundbreaking work of Kazhdan-Lusztig who gave a geometric construction of affine Hecke algebras with equal parameters via equivariant K-theory and the work of Kato who extended this to the unequal parameter setting in type C. Building on these ideas, I will then explain a new construction that realises affine Hecke algebras with unequal parameters in all types.

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

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