Chung Pang Mok (Berkeley)

Heegner points and p-adic L-functions for elliptic curves over totally real fields.

For an elliptic curve E over Q satisfying suitable hypothesis, Bertolini and Darmon have derived a formula for the Heegner point on E, in terms of a certain central derivative of the two variable p-adic L-function associated to E. We'll report on an ongoing project that generalizes their work to the setting of totally real fields.