# Extensions of the Gross-Zagier formula

 Joint IAS/Princeton University Number Theory Seminar Topic: Extensions of the Gross-Zagier formula Speaker: Kartik Prasanna Affiliation: University of Michigan Date: Thursday, April 23 Time/Room: 4:30pm - 5:30pm/S-101 Video Link: http://video.ias.edu/puias/2015/0423-KartikPrasanna

I will first discuss the general conjectural picture relating algebraic cycles to L-functions and some extensions of the Gross-Zagier formula involving $p$-adic L-functions. This leads naturally to the question of constructing algebraic cycles corresponding to the vanishing of certain Rankin-Selberg L-functions at the center of symmetry. Finally, I will outline some new constructions of such cycles, based on work in progress with A. Ichino.