Space of cycles and coniveau filtration

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.