Dr. Ila Varma (Dept. of Mathematics, Univ. of Toronto)

11/04/2024  4:10pm

 

Abstract:

A guiding question in number theory, specifically in arithmetic statistics, is: Fix a degree n and a Galois group G in S_n. How does the count of number fields of degree n whose normal closure has Galois group G grow as their discriminants tend to infinity? In this talk, we will discuss the history of this question and take a closer look at the story in the case that n = 4, i.e. the counts of quartic fields.