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# Evangelia Gazaki : Torsion phenomena for zero-cycles on a product of curves over a number field

For a smooth projective variety X over an algebraic number field a conjecture of Bloch and Beilinson predicts that the kernel of the Abel-Jacobi map of X is a torsion group. When X is a curve, this follows by the Mordell-Weil theorem. In higher dimensions however there is hardly any evidence for this conjecture. In this talk I will focus on the case when X is a product of smooth projective curves and construct infinitely many nontrivial examples that satisfy a weaker form of the Bloch-Beilinson conjecture. This relies on a recent joint work with Jonathan Love.

**Category**: Number Theory**Duration**: 01:14:45**Date**: April 20, 2022 at 3:10 PM**Views**: 230-
**Tags:**seminar, Number Theory Seminar

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