Mark Shusterman: Counting Minimally Ramified Global Field Extensions (NTWS 172)
Channel: Number Theory Web Seminar
Date: 2023-05-18

Abstract: Given a finite group G, one is interested in the number of Galois extensions of a global field with Galois group G and bounded discriminant. We consider a refinement of this problem where the discriminant is required to have the smallest possible number of (distinct) prime factors. We will discuss existing results and conjectures over number fields, and present some recent results over function fields. 

Number Theory Web Seminar: https://www.ntwebseminar.org

Original air date:
Thursday, May 18, 2023 (8am PDT, 11am EDT, 4pm GMT, 5pm CEST, 6pm Israel Daylight Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, May 19, 2023 (1am AEST, 3am NZST)