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理学院专题学术讲座 | Seminar on algebraic geometry and ramification
时间
2021年10月25日（星期一）
下午13:00 - 14:00
地点
Zoom在线直播
主持
北京大学 阳恩林 博士/西湖大学理学院PI 赵以庚 博士
受众
全体师生
分类
学术与研究
理学院专题学术讲座 | Seminar on algebraic geometry and ramification
Speaker: Prof. Jinhyun Park, KAIST, Korea
Time: 13:00 - 14:00, Monday, October 25th, 2021
Online: Zoom Conference (Meeting ID: 820 6945 5808 Passcode: 352729)
Host: Dr. Enlin Yang, Peking University and Dr. Yigeng Zhao, Westlake University
Title：On motivic cohomology of singular algebraic schemes
Abstract：Motivic cohomology is a hypothetical cohomology theory for algebraic schemes, including algebraic varieties, that can be seen as the counterpart in the domain of algebraic geometry, to the singular cohomology of topology. It has been constructed for smooth varieties, but for the singular ones the situation was not clear.
In this talk, I will sketch some recent attempts of mine to provide an algebraic-cycle-based model for the motivic cohomology of singular algebraic schemes, using formal schemes.
As this is very complicated, in the talk I will concentrate more on the concrete case of the fat points, where the situation is simpler, but not still trivial.
