Equivariant algebraic $\mathrm{K}$-theory and Artin $L$-functions
Equivariant algebraic $\mathrm{K}$-theory and Artin $L$-functions
In this paper, we generalize the Quillen-Lichtenbaum Conjecture relating special values of Dedekind zeta functions to algebraic $\mathrm{K}$-groups. The former has been settled by Rost-Voevodsky up to the Iwasawa Main Conjecture. Our generalization extends the scope of this conjecture to Artin $L$-functions of Galois representations of finite, function, and totally …