PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:The Koblitz conjecture on average
Seminar:Algebra and Number Theory Seminar
Speaker:Alina Cojocaru, University of Illinois at Chicago
Abstract:
Let E be an elliptic curve defined over Q. In 1988, Koblitz formulated a conjecture about the number of primes p < x for which the reduction of E modulo p has prime order. This conjecture may be viewed as a higher dimensional analogue of the classical twin prime conjecture. I will show that the Koblitz conjecture is true when considered for a family of elliptic curves. This is joint work with Antal Balog (Renyi Institute, Budapest) and Chantal David (Concordia University, Montreal).

Room Reservation Information

Room Number:MB106
Date:03 / 19 / 2009
Time:11:15am - 12:05pm