| 16:00-16:50 in MS 5127 Chung Pang Mok (UC Berkeley) Special values of L-function of elliptic curves over $\mathbf{Q}$
and their base change to real quadratic fields Abstract. Motivated by a result of Bertolini?Darmon on Stark?Heegner points, we
study the special value of the L-function of a rational elliptic curve,
base-changed to a real quadratic field. The conjecture of Birch and
Swinnerton-Dyer predicts that such value, appropriately normalized, is a
perfect square. If time permits, we will reformulate this prediction in
terms of a conjecture about Petersson inner products of automorphic forms
on definite quaternion algebras. |