Number Theory Seminar
A.C. Cojocaru
University of Illinois at Chicago
Questions about the reductions modulo primes of an elliptic curve
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.
Monday October 3, 2011 at 3:00 PM in SEO 612