|Joint IAS/Princeton University Number Theory Seminar|
|Topic:||Elliptic curves of rank two and generalised Kato classes|
|Date:||Tuesday, October 24|
|Time/Room:||4:45pm - 5:45pm/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.