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Department of Mathematics,
University of California San Diego

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Math 292 - Topology Seminar

Ningchuan Zhang

University of Pennsylvania

A Quillen-Lichtenbaum Conjecture for Dirichlet L-functions

Abstract:

The original version of the Quillen-Lichtenbaum Conjecture, proved by Voevodsky and Rost,  connects special values of Dedekind zeta functions and algebraic K-groups of number fields. In this talk, I will discuss a generalization of this conjecture to Dirichlet L-functions. The key idea is to twist algebraic K-theory spectra with the equivariant Moore spectra introduced in my thesis. This is joint work in progress with Elden Elmanto.

Host: Zhouli Xu

May 24, 2022

1:00 PM

https://ucsd.zoom.us/j/99777474063
Password: topology

Research Areas

Geometry and Topology

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