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Eisenstein cocycles and elliptic Dedekind sums

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Wong Tian An
University of Michigan-Dearborn
Die, 17/05/2022 - 16:00 - 17:00

Virtual talk.

Eisenstein cocycles represent classes in the group cohomology of \(\operatorname{GL}(n)\). They have received renewed attention in recent years following their applications to the arithmetic of L-functions. In this talk, I will discuss Eisenstein cocycles over imaginary quadratic fields in the \(n = 2\) case, which are elements in the cohomology of hyperbolic 3-manifolds, and are connected to elliptic Dedekind sums. We show that the image of normalized elliptic Dedekind sums are equidistributed, and discuss potential analogues for congruence subgroups and applications

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