Equivariant algebraic K-theory and Artin L-functions

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.