Counting number fields and predicting asymptotics

Thursday, September 14, 2023 - 13:30 to 14:30

Thackeray 703

Speaker Information
Ila Varma
University of Toronto

Abstract or Additional Information

A guiding question in number theory, specifically in arithmetic statistics, is: Fix a degree n and a Galois group G in Sn. 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.

Research Area