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Equivariant algebraic K-theory and Artin L-functions

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Ningchuan Zhang
University of Pennsylvania/MPIM
Mon, 05/02/2024 - 14:20 - 14:35
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

The Quillen-Lichtenbaum Conjecture, proved by Voevodsky-Rost, originally states that special values of the Dedekind zeta function of a number field are computed by sizes of its algebraic K-groups. In this talk, I will sketch how to generalize this conjecture to Artin L-functions of Galois representations by considering equivariant algebraic K-groups with coefficients in those representations. This is joint work in progress with Elden Elmanto.

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