HUJI NT Seminar - David Lilienfeldt

Mon, 15/11/202114:30-16:00
Ross 70

Title: Experiments with Ceresa classes of cyclic Fermat quotients


Abstract: We give two new examples of non-hyperelliptic curves whose Ceresa cycle has torsion image in the intermediate Jacobian.  For one of them, we find that the central value of the L-function of the relevant motive is non-vanishing, consistent with the conjectures of Beilinson and Bloch. We speculate on a possible explanation for the existence of these torsion Ceresa classes, based on some computations with cyclic Fermat quotients. This is joint work with Ari Shnidman.