Joint IAS/Princeton University Number Theory Seminar
On the arithmetic of elliptic curves over quintic fields
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 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.
Date & Time
September 19, 2019 | 4:30pm – 5:30pm
Location
*Princeton University, Fine 214*Speakers
Michele Fornea
Affiliation
Princeton University