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SUMMARY:Towards a Hecke algebra for fundamental groups of graphs of groups
  - Richard Freeland\, Univserity of Cambridge
DTSTART:20180316T150000Z
DTEND:20180316T160000Z
UID:TALK100516@talks.cam.ac.uk
CONTACT:Nicolas Dupré
DESCRIPTION:A Hecke algebra H is an important tool in representation theor
 y of group algebras kG. Many different objects are called Hecke algebras\,
  but they are often endomorphism algebras of some kG module V\, and so all
 ow you to study representations of the group G by looking at V as an H-kG 
 bimodule. In this talk\, I will give an overview of some of the ways to de
 fine Hecke algebras. I'll then discuss how well they apply to certain infi
 nite groups given by actions on trees. This will consider a couple of gene
 ralizations of Serre's groups of tree automorphisms that involve almost au
 tomorphisms in the style of Thompson's group V.\nThis talk is work in prog
 ress and aims to explain the classical theory clearly rather than present 
 new results.
LOCATION:CMS\, MR14
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