Event Detail

Event Type: 
Department Colloquium
Date/Time: 
Monday, June 8, 2009 - 09:30
Location: 
Kidd 364

Speaker Info

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.