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HUJI NT Seminar - David Lilienfeldt | Einstein Institute of Mathematics

HUJI NT Seminar - David Lilienfeldt

Date: 
Mon, 15/11/202114:30-16:00
Location: 
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.