Professor Ila Varma from University of Toronto will give a colloquium in the
Ramanujan Hall at 4 pm, on Wednesday 25th June.
Title: Counting number fields and predicting asymptotics
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.