On the arithmetic of elliptic curves over quintic fields
On the arithmetic of elliptic curves over quintic fields
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Michele Fornea, Princeton University
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听reach of methods based on Heegner points.听In this talk we will report on a joint work in progress 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.