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Mathematics Colloquium

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Date:  Tuesday, April 28, 2009

Title:  Geometry and arithmetic of Gross--Schoen cycles

Abstract:  On the triple product of a projective algebraic curve, B. Gross and C. Schoen constructed a homologically trivial cycle as a linear combination of the diagonal and partial diagonals. The height of such a cycle is a new invariant of the curve when the base field is number field or function field. I will explain some proved or conjectured formulae for this invariant, and some applications to geometry and number theory.


Speaker:  Shouwu Zhang
Institution:  Columbia University

 

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