报告人：周琳（中国科学院数学与系统科学研究院）

时 间：2023年12月20日15:45

地 点：海韵园教学楼206

内容摘要:

Schreieder's refined unramified cohomology, which extends the unramified cohomology and Kato homology, currently plays an important role in the study of integral algebraic cycles; e.g., integral Hodge conjecture and Griffith groups. In this talk, we will show that Bloch’s higher cycle class map with finite coefficients of a scheme over an algebraically closed field fits naturally in a long exact sequence involving refined unramified cohomology. We also show that the refined unramified cohomology is a generalized homology theory. We conjecture in the end that refined unramified homology is a motivic homology theory. If time permits, we will discuss the connections between this conjecture and other known results mentioned earlier. This is a joint work with Kees Kok.

个人简介：

周琳，中国科学院晨兴数学中心博士后。2021博士毕业于北京大学国际数学中心。主要从事代数簇的代数闭链，周群，动机上同调方面的研究工作。特别聚焦在非分歧上同调的研究。相关论文发表在《Advances in Geometry》上。

联系人：吕人杰