Workshop on Recent Developments in Hodge Theory and O-minimality

Abstract: In this talk, we construct a Zariski open dense locus in $M_g$ on which the Beilinson-Bloch height of the Gross-Schoen and Ceresa cycles is a Weil height, i.e. it has a lower bound and satisfies the Northcott property. This implies a generic positivity result of the heights of these cycles. This is joint work with Shouwu Zhang.