Geometry and arithmetic of Gross--Schoen cycles

Shou-Wu Zhang

Columbia University

Brandeis University

Thursday, April 3, 2008

Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 300 Goldsmith Hall

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 a global field. I will explain some proved or conjectured formulae for this invariant, and some applications to algebraic geometry and number theory.

Home Web page: Alexandru I. Suciu Posted: March 20, 2008
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