Dedekind eta function and quantum groups

par Prof. Xin FANG (Université Paris VII & IHES)

mardi 10 déc. 2013, 15:30 → 16:00 Europe/Paris

Amphitéâtre Léon Motchane (IHES)

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…