Event Type:

Department Colloquium

Date/Time:

Monday, June 8, 2009 - 09:30

Location:

Kidd 364

Guest Speaker:

Institution:

University of Wisconsin-Oshkosh

Abstract:

The local study of elliptic curves modulo primes is one of the most powerful tools, both conjecturally and actually, for proving global results. The trace of the Frobenius morphism is a measure of how far an elliptic curve departs from its expected local behavior, and Lang and Trotter have a well-known conjecture regarding the distribution of these traces for a given curve. In this talk we will discuss some results related to this conjecture for certain families of elliptic curves.