Hovels and Hecke algebras

Stephane Gaussent (Université Jean Monnet)

Wednesday 23rd March, 2016 16:00-17:00 Maths 522


A hovel is degraded building. It can be used to associate to a Kac-Moody group over a local field a bunch of Hecke algebras.

First, I will explain the definition of the hovel which generalises the construction of the Bruhat-Tits building associated to a reductive group. Then I will present three kind of algebras that one can associate to the hovel: the spherical Hecke algebra, the Iwahori-Hecke algebra and the Bernstein-Lusztig-Hecke algebra.

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