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Number Theory Seminar

Thursday, November 21, 2019
2:45pm to 3:45pm
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Linde Hall 183
On the arithmetic of elliptic curves over quintic fields
Michele Fornea, Department of Mathematics, Princeton,

Bhargava showed that 100% of quintic fields have non-solvable Galois closure. For this reason, the arithmetic of elliptic curves over such fields is beyond the reach of methods based on Heegner points. In this talk we will report on a joint work with Zhaorong Jin about the p-adic variation of Hirzebruch-Zagier cycles. The aim is to establish new instances of the rank zero BSD-conjecture over quintic fields.

For more information, please contact Math Department by phone at 626-395-4335 or by email at mathinfo@caltech.edu.