Algebraic cycles and Hodge structures IV
主 题: Algebraic cycles and Hodge structures IV
报告人: Claire Voisin (CNRS)
时 间: 2013-10-17 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.
IV. Self-correspondences of surfaces.
I will prove several instances of the Bloch conjecture for self-correspondences acting on 0-cycles of surfaces or threefolds.