Algebraic cycles and Hodge structures II
主 题: Algebraic cycles and Hodge structures II
报告人: Claire Voisin (CNRS)
时 间: 2013-10-10 09:30-11:30
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.
II. Chow groups and coniveau.
I will discuss the relation between 0-cycles and holomorphic forms discovered by Mumford, and explain more generally how assumptions on the size of Chow groups lead to conclusions concerning the size of Hodge structures measured by their coniveau.