Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Wong Tian An
Affiliation:

University of Michigan-Dearborn
Date:

Tue, 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

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/11255