# Elliptic curves of rank two and generalised Kato classes

 Joint IAS/Princeton University Number Theory Seminar Topic: Elliptic curves of rank two and generalised Kato classes Speaker: Francesc Castella Affiliation: Princeton University Date: Tuesday, October 24 Time/Room: 4:45pm - 5:45pm/S-101 Video Link: https://video.ias.edu/puias/2017/1024-FrancescCastella

The generalised Kato classes of Darmon-Rotger arise as $p$-adic limits of diagonal cycles on triple products of modular curves, and in some cases, they are predicted to have a bearing on the arithmetic of elliptic curves over $Q$ of rank two. In this talk, we will report on a joint work in progress with Ming-Lun Hsieh concerning a special case of the conjectures of Darmon-Rotger.