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Mathematics Colloquium EVENT DETAIL 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   Back to current Colloquium List Back to UM Math seminars page .