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.