In-Person and Online Talk

Register at: https://math.princeton.edu/minerva-2022

In the second talk, we will move to certain high dimensional varieties (such as the product of several elliptic curves) over number fields, where, instead of rational points,  we want to search for (or to show finiteness of) algebraic cycles (i.e., parameter solutions) modulo suitable equivalence relations (rational equivalence, Abel—Jacobi or its p-adic variants). In particular, we’ll report some recent results on a conjecture of Beilinson/Bloch-Kato and the role of the Gan-Gross-Prasad (or the arithmetic diagonal) cycle  in the proof.