Bonn Topology Group - Abstracts

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Talk

May 7, 2024
Ningchuan Zhang (Indiana University Bloomington): Equivariant algebraic K-theory and Artin L-functions

Abstract

The celebrated Quillen-Lichtenbaum Conjecture (QLC), proved by Rost and Voevodsky, connects special values of the Dedekind zeta function of a number field to sizes of its algebraic K-groups. In this talk, I will explain how to generalize the QLC to Artin L-functions of Galois representations of finite, function, and totally real number fields. On the K-theory side, we compute equivariant algebraic K-groups with coefficients in those Galois representations. This is joint work with Elden Elmanto.