Seminar des SFB/TRR 326 GAUS

Let E/F be an elliptic curve defined over a number field F, and let K/F be a quadratic extension. If the analytic rank of E(K) is one, one can often use Heegner points (or the more general Darmon points) to produce (at least conjecturally) a nontorsion generator of E(K). If the analytic rank of E(K) is larger than one, the problem of constructing algebraic points is still very open. In very recent work, Michele Fornea and Lennart Gehrmann have introduced certain p-adic quantities that may be conjecturally related to the existence of these points. In this talk I will explain their construction, and illustrate with some numerical experiments some support for their conjecture. This is joint work with Michele Fornea and Xevi Guitart. Meeting-Link Meeting number (Access code): 2732 335 4534 Password: SFB326

Freitag, den 4. Februar 2022 um 13:30 Uhr, in Online (Webex), Freitag, den 4. Februar 2022 at 13:30, in Online (Webex),

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Dr. Peter M. Gräf