Ulrich Stuhler: Hecke algebras and motivic integration

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In the last years there have been various attempts to define Hecke algebras in the context of motivic integration. Some of these attempts will be discussed .There will be outlined analogies with the classical case of the Hecke algebras related to locally compact reductive groups. Additionally applications towards the homological algebra of these rings will be given as well as relations to the geometric local Langlands program.

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