|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