现在位置:首页 > 学术报告
 

 

Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:

Xiaolei Zhao, Northeasten University

Inviter:  
Title:
Derived categories of K3 surfaces, O’Grady’s filtration, and zero-cycles on holomorphic symplectic varieties
Time & Venue:
2017.12.21 10:30-11:30 N913
Abstract:
The Chow group of 0-cycles on K3 surfaces is known to be huge. On the other hand, the 0-cycles arising from intersections of divisors and the second Chern class of the tangent bundle all lie in a one dimensional subgroup. In my talk, I will first recall some recent attempt to generalize this property to hyper-Kahler varieties. Then I will prove a conjecture of O’Grady using methods from derived category, and explain a connection between the K3 surface case and the case of moduli of sheaves. If time permits, I will also discuss some consequences, together with a generalization to Fano varieties of lines on a cubic fourfold containing a plane. This talk is based on a joint work with Junliang Shen and Qizheng Yin, and one with Alina Marian.
 

 

附件下载:
 
 
【打印本页】【关闭本页】
电子政务平台   |   科技网邮箱   |   ARP系统   |   会议服务平台   |   联系我们   |   友情链接