PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:On Mordell-Weil groups of abelian varieties over function fields
Seminar:Algebra and Number Theory Seminar
Speaker:Doug Ulmer, University of Arizona
Abstract:
I will sketch a construction which, among other things, relates homomorphisms of certain abelian varieties over a field k to Mordell-Weil groups of certain abelian varieties over K=k(t). When k is finite this leads to elliptic curves of unbounded rank over k(t) with explicit generators for the Mordell-Weil group. When k is the complex numbers, it leads to (quite non-explicit) elliptic curves over C(t) of moderately high rank.

Room Reservation Information

Room Number:MB106
Date:02 / 26 / 2009
Time:11:15am - 12:05pm