Extensions of the GrossZagier formula
Extensions of the GrossZagier formula

Kartik Prasanna, University of Michigan
IAS Room S101
I will first discuss the general conjectural picture relating algebraic cycles to Lfunctions and some extensions of the GrossZagier formula involving padic Lfunctions. This leads naturally to the question of constructing algebraic cycles corresponding to the vanishing of certain RankinSelberg Lfunctions at the center of symmetry. Finally, I will outline some new constructions of such cycles, based on work in progress with A. Ichino.