Algebraic cycles and Hodge structures I
主 题: Algebraic cycles and Hodge structures I
报告人: Claire Voisin (CNRS)
时 间: 2013-10-08 9:30-11:30
地 点: Quan 9, BICMR（数学中心活动）
The Chow groups of a smooth projective variety are very refined invariants whose counterpart in complex geometry is the data of the Hodge structures on cohomology. In fact, there are rather precise conjectures linking both kinds of objects. We will describe these conjectures and explain some technics to attack them in particular cases.
I. Cycles on algebraic varieties, Chow groups.
I will introduce Chow groups and correspondences between algebraic varieties. I will also discuss cycle classes and cohomological aspects of correspondences (eg the induced morphisms of Hodge structures).