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短课程:coniveau filtration, refined unramified cohomology and motivic cohomology

发布日期:2025-06-04点击数:

报告人:周琳 博士后(德国汉诺威大学)

时间:2025年06月09日   下午14:00—16:00;

          2025年06月11日   下午14:00—16:00;

          2025年06月18日   下午14:00—16:00;

          2025年06月20日   下午14:00—16:00;

地点:数统学院LD106


摘要:Schreieder’s refined unramified cohomology (2023), which extends unramified cohomology and Kato homology, currently plays an important role in the study of integral algebraic cycles, such as the integral Hodge and Tate conjectures and Griffiths groups. Moreover, it serves as a bridge in the study of higher Chow groups—and more generally, K-theory—particularly with regard to their torsion parts.

In this mini course, I will introduce several distinct cohomology and homology theories, including Kato homology, unramified cohomology, and motivic cohomology, and explain how they relate to refined unramified cohomology. If time permits, I will also discuss recent developments in this theory, as well as some related conjectures.

Key words: coniveau filtration, refined unramified cohomology, higher Chow groups.


邀请人:数学研究中心


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重庆大学数学与统计学院的前身是始建于1929年的重庆大学理学院和1937年建立的重庆大学商学院,理学院是重庆大学最早设立的三个学院之一,首任院长为数学家何鲁先生。