Ramin Takloo-Bighash : Counting orders in number fields and $p$-adic integrals

Posted by Alina Carmen Cojocaru , part of the Number Theory Seminar.

At

Oct. 7, 2014, 11 a.m.

In

SEO 427

Abstract

In this talk I will report on a recent work on the distribution of orders in number fields. In particular, I will sketch the proof of an asymptotic formula for the number of orders of bounded discriminant in a given quintic number field emphasizing the role played by p-adic (and motivic) integration. This is joint work with Nathan Kaplan (Yale) and Jake Marcinek (Caltech).

The seminar ends at 12:30.