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The Barnes-Hurwitz zeta cocycle on PGL_2(Q)

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Milton Espinoza
Universidad de La Serena/MPIM
Wed, 08/02/2023 - 14:30 - 15:30
MPIM Lecture Hall
Parent event: 
Number theory lunch seminar

Hybrid. Contact: Pieter Moree (moree@mpim...)

In this talk, we will introduce a group cocycle Z on PGL_2(Q) whose construction relies upon zeta functions of Barnes and Hurwitz. One of the advantages of this cocycle is that it allows us to endow all the Taylor coefficients of Z at s=0 with the same (cohomological) property. If time permits, we will also discuss some applications to the study of ray class zeta functions over real quadratic fields.

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