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Dedekind eta function and quantum groups
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Europe/Paris
Amphitéâtre Léon Motchane (IHES)
Amphitéâtre Léon Motchane
IHES
Le Bois Marie
35, route de Chartres
91440 Bures-sur-Yvette
Description
In this talk I will explain how to realize some powers of the Dedekind eta function as a trace formula via different quantum coordinate algebras associated to semi-simple Lie algebras. If time permits, I will mention several perspectives, including relations to the Lehmer's conjecture on Ramanujan's tau function, the quantum dilogarithms, etc…
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