Lawson homology of abelian varieties and related conjectures
主 题: Lawson homology of abelian varieties and related conjectures
报告人: Dr. Ze Xu (BICMR, PKU)
时 间: 2014-12-16 13:45-14:45
地 点: Room 77201 at #78 courtyard, Beijing International Center for Mathematical Research（博士后讨论班）
For a complex projective variety, Lawson defined the so called Lawson homology by endowing a well behaved topology, the Chow topology, on the groups of algebraic cycles. In this talk, first we review the definition and basic properties of Lawson homology. Then we focus on the case of abelian varieties and establish a primitive decomposition theorem. Finally, we discuss the relations of several conjectures, including the vanishing conjecture of Beauville type and the hard Lefschetz conjecture.
