Francesc Castella (UCLA)
Heegner cycles and p-adic L-functions

Abstract: We will describe an explicit reciprocity law for generalised Heegner cycles in terms of certain Rankin-Selberg L-values, and explain the applications of this formula to certain 'rank 0' cases of the Bloch-Kato conjecture. This is a joint work with M.-L. Hsieh.