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 |