##### 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****************************