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SUMMARY:Geometric realisations of affine Hecke algebras with unequal param
 eters - Jonas Antor\, Universitat Bonn
DTSTART:20241030T163000Z
DTEND:20241030T173000Z
UID:TALK223768@talks.cam.ac.uk
CONTACT:Adam Jones
DESCRIPTION:Representations of affine Hecke algebras are of considerable i
 nterest since they essentially control the representation theory of p-adic
  groups. This talk discusses how these algebras can be studied using geome
 tric methods. We will start by reviewing the groundbreaking work of Kazhda
 n-Lusztig who gave a geometric construction of affine Hecke algebras with 
 equal parameters via equivariant K-theory and the work of Kato who extende
 d this to the unequal parameter setting in type C. Building on these ideas
 \, I will then explain a new construction that realises affine Hecke algeb
 ras with unequal parameters in all types.
LOCATION:MR12
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