MATH Seminar
| Title: Selmer groups, ranks of elliptic curves, and applications |
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| Seminar: Algebra |
| Speaker: Ari Shnidman of Boston College |
| Contact: David Zureick-Brown, dzb@mathcs.emory.edu |
| Date: 2019-01-22 at 4:00PM |
| Venue: MSC W201 |
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| Abstract: I'll discuss some forthcoming results on Selmer groups in twist families of elliptic curves. In work with Lemke Oliver, we bound the average size of the 2-Selmer group in quadratic twist families, when E[2](Q) = 0. This bounds the average Mordell-Weil rank in such families. I'll also discuss work with Alpoge and Bhargava on Selmer groups of sextic twists of elliptic curves, with an application to a question about cubic fields. |
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