Department of Mathematics - Master Calendar

Title:  A uniform Chebotarev density theorem and Artin's holomorphy conjecture

Abstract:  We improve the uniformity in the Chebotarev density theorem for Galois extensions of number fields satisfying Artin's holomorphy conjecture. Using nonabelian base change, this yields an unconditional improvement to the uniformity in the Chebotarev density theorem along with the first theoretical improvement over Weiss's bound for the least norm of an unramified prime ideal with given Frobenius class. I will also compare our results to other ones and talk about some concrete examples.  This is joint work with Jesse Thorner.