Malle's conjecture for nilpotent groups

Abstract: Malle's conjecture is a quantitative version of the Galois inverse problem. Namely, fixing some ramification invariant of number fields (discriminant, product of ramified primes, etc), for a finite group $G$ one seeks an asymptotic formula for the number of $G$-extensions (of a given number field) having bounded ramification invariant. In this talk I will overview past and ongoing joint work with Peter Koymans focusing on the case of nilpotent groups.

number theory

Audience: researchers in the topic

Harvard number theory seminar