Eisenstein cocycles and elliptic Dedekind sums

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