MATH Seminar
| Title: Constructing elliptic curves of high rank over function fields |
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| Seminar: Athens-Atlanta Number Theory |
| Speaker: Doug Ulmer of Georgia Tech |
| Contact: R. Parimala, parimala@mathcs.emory.edu |
| Date: 2009-10-20 at 4:00PM |
| Venue: MSC W201 |
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| Abstract: There are now several constructions of elliptic curves of high rank over function fields, most involving high-tech things like $L$-functions, cohomology, and the Tate or BSD conjectures. I'll review some of this and then give a very down-to-earth, low-tech construction of elliptic curves of high ranks over the rational function field $\mathbf{F}_p(t)$. |
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