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Explore a mathematical lecture on the generic positivity of the Beilinson-Bloch height of Gross-Schoen and Ceresa cycles. Learn about a significant result proving that for any number field K, the Gross-Schoen/Ceresa cycle associated with a generic curve has non-negative Beilinson-Bloch height. Discover how this result emerges as a consequence of a Northcott property through joint research with Shouwu Zhang. Gain insights into advanced topics in algebraic geometry and number theory, including the mathematical foundations underlying Beilinson-Bloch heights and their applications to understanding geometric cycles. This presentation was recorded during the thematic meeting on "Diophantine approximation and transcendence" at the Centre International de Rencontres Mathématiques in Marseille, France, providing access to cutting-edge research in mathematical analysis and geometric number theory.
