Title: Cubic hypersurfaces: Chow groups, motives and rationality problems
Speaker: Dr. Renjie Lyu (MCM)
Time: 2020-12-10,
Place: MCM110&ZOOM
Abstract: The Chow group of algebraic varieties is extensively used to study the rationality problem. In this talk, I will talk about two results. One is called the universal generation of the Chow groups of smooth cubic hypersurfaces. It studies the cylinder homomorphism on the Chow group by the Fano correspondence. Another is a relation of Chow motives between a smooth cubic hypersurface and its Fano variety of lines. The proof is built upon an observation due to Galkin and Shinder to study the Grothendieck ring of varieties. Besides, I will show applications of the results to integral Hodge(Tate) conjectures. MCM110 & ZOOM (Zoom ID: 466 356 2952 Password: mcm1234)
Attachment:

中国科学院晨兴数学中心2014-2019版权所有 京ICP备05002806号

北京市海淀区中关村东路55号 邮政编码：100190

电话：86-10-82541165 Email: mcmadmin@math.ac.cn