Stephanie Chan, University of Michigan
January 15th, 2021 2:30-3:30 pm CET
Title : A density of ramified primes
Abstract : Let be a cyclic number field of odd degree over ℚ with odd narrow class number, such that is inert in /ℚ. We extend the definition of spin (a special quadratic residue symbol) to all odd ideals in , not necessarily principal. We discuss some of the ideas involved in obtaining an explicit formula, depending only on [:ℚ], for the density of rational prime ideals satisfying a certain property of spins, conditional on a standard conjecture on short character sums. This talk is based on joint work with Christine McMeekin and Djordjo Milovic.