Friday, Feb. 27 in MS 3915 A

p-adic periods and p-adic L-functions of elliptic curves

Abstract: To an elliptic curve E over the rationals and a prime number p one can attach a p-adic L-function. If E has split multiplicative reduction at p the p-adic L-function vanishes at the central critical point and there is a formula (due to Greenberg and Stevens and independently to Kato, Kurihara and Tsuji) which relates its first derivative to the p-adic period of E. In this talk we report on an ongoing project that generalizes this result to elliptic curves over totally real fields.