Elliptic curves of rank two and generalised Kato classes

Elliptic curves of rank two and generalised Kato classes

-
Francesc Castella , Princeton University
IAS Room S-101

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.