Seminar der Forschergruppe 'Symmetrie, Geometrie und Arithmetik'

Let E be an elliptic curve over Q and let K be a real quadratic field. Under certain conditions on K, Henri Darmon introduced the so-called Stark--Heegner points: a conjectural construction of points in E(K) that resembles the classical Heegner point method, and which relies on certain p-adic integrals of the modular form attached to E. Matthew Greenberg extended Darmon's construction to a larger class of real quadratics K, by considering also p-adic integrals of quaternionic modular forms. In this talk I will describe Greenberg's points and discuss joint work with Marc Masdeu on an algorithm for their explicit computation. In addition to providing numerical evidence in support of Greenberg's conjectures, the algorithm can be used in practice as a method for effectively computing rational points over real quadratic fields.

Freitag, den 6. Dezember 2013 um 13:30 Uhr, in INF 288, HS2 Freitag, den 6. Dezember 2013 at 13:30, in INF 288, HS2

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. G. Böckle