Number Theory Seminar
Frank Thorne
University of South Carolina
Some new results in number field counting
Abstract: In a famous paper, Ellenberg and Venkatesh studied the number
of number fields $K$ with $[K : \mathbb{Q}] = n$ and $|\text{Disc}(K)| < X$.
A folk conjecture establishes that this quantity is asymptotic to a
constant (depending on $n$) times $X$; although this problem remains open
for $n > 5$, Ellenberg and Venkatesh obtained both upper and lower
bounds.
In the talk, I will give an overview of their proofs and of several
new results on number field counting which their work inspired. This
is joint work with Robert Lemke Oliver and (in part) Aaron Landesman.
The seminar lasts 80 minutes (9:30am-10:50am).
Friday November 22, 2019 at 9:30 AM in 1227 SEO