A.C. Cojocaru : Questions about the reductions modulo primes of an elliptic curve

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

At

Oct. 3, 2011, 3 p.m.

In

SEO 612

Abstract

Many remarkable questions about prime numbers have natural analogues in the context of elliptic curves. Among them, Artin's primitive root conjecture, the twin prime conjecture, and the Schinzel hypothesis have inspired a broad family of conjectures regarding the behaviour of the reductions modulo primes of an elliptic curve over Q. I will give an overview of such questions and progress made towards their resolution.