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Space of cycles and coniveau filtration

来源: 03-27

时间:Mon. , 10:00-11:30 am Mar. 27, 2023

地点:Jingzhai 304

主讲人:田志宇 Zhiyu Tian 北京大学

Speaker


田志宇,北京国际数学研究中心副教授。主要研究领域为代数几何。2011年在美国纽约州立大学石溪分校获博士学位,博士毕业后历任美国加州理工学院任Taussky-Todd instructor、德国波恩大学访问学者、法国国家科学研究中心(CNRS)研究员。2018年获“求是杰出青年学者奖”。


Abstract

Coniveau filtration was first defined by Grothendieck to understand the "support" of a cohomology class. For rational coefficient, one can always take the support to be smooth. But for integral or torsion coefficient, intricate questions arise. In this talk, I plan to talk about our recent understandings of the situation through the study of the space of cycles and some arithmetic consequences.

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