Number/Representation Theory

Event Information Artin L-functions and equivariant algebraic K-theory
14:10 on Wednesday September 18, 2024
15:10 on Wednesday September 18, 2024
BA6183, Bahen Center, 40 St. George St.
Elden Elmanto
https://eldenelmanto.com
University of Toronto

The Quillen-Lichtenbaum conjecture asserts that the ratio of even and odd K-groups correspond to special values of zeta-functions in the number fields context. This was settled by Rost-Voevodsky modulo Iwasawa theory. I will give a number theorist-friendly introduction to this circle of ideas and explain a refinement of this conjecture obtained in joint work with Zhang where we expressed the ratio of even and odd equivariant K-groups as special values of Artin L-functions of certain Galois characters.