Auden Hinz : Frobenius Fields for Pairs of Elliptic Curves

Posted by Auden Hinz , part of the Number Theory Seminar.

At

Feb. 24, 2023, noon

In

427 SEO

Abstract

I will explain an argument that gives an upper bound on the number of primes for which a pair of non-isogenous non-CM elliptic curves have the same Frobenius Field. The argument presented is an application of the square sieve, matrix counting arguments, and the Chebotarev Density Theorem.