One-day workshop on ramifications for l-adic sheaves: old and new
会议组织者: 阳恩林
时 间：2025年04月22日
地 点：tyc234cc 太阳成集团智华楼四元厅-224, 225
|
2025/04/22
|
09:00-10:00
|
Yigeng Zhao (Westlake University)
|
|
|
10:00-10:15
|
Free Discussion
|
|
|
10:15 -11:15
|
Enlin Yang
|
|
|
|
|
|
|
13:00-14:00
|
Fangzhou Jin (Tongji University)
|
|
|
14:30-15:00
|
Free Discussion
|
|
|
15:00-16:00
|
Haoyu Hu (Nanjing University)
|
|
|
16:16-17:15
|
Haoyu Hu (Nanjing University)
|
报告人：金方舟（同济大学）
Title: Milnor-Witt cycle modules and the homotopy t-structure
Abstract: Milnor Witt cycle modules are quadratic analogues of Rost cycle modules, which can be used to define Chow-Witt groups using elementary arithmetic operations on residue fields. We introduce Milnor Witt cycle modules over a base scheme and discuss their relations with the homotopy t-structure on the motivic stable homotopy category. This is a joint work with F. Déglise and N. Feld.
报告人：胡昊宇（南京大学）
Title: Estimate of Betti numbers and Deligne’s finiteness theorem for l-adic sheaves
Abstract: In the two talks, I will introduce a main result on the upper bound of each Betti number of an étale sheaf on a positive characteristic variety and explain several applications. These results are joint with Jean-Baptiste Teyssier.
In the first talk, I will focus on the statement of the main result, the sketch of the proof, and an application in a generalization of Deligne’s finiteness theorem for l-adic sheaves with bounded ramification.
In the second talk, I will sketch applications in a finiteness result for irreducible components of singular supports, and in a Lefschetz type theorem for monodromy groups.
报告人：阳恩林（tyc234cc 太阳成集团）&赵以庚（西湖大学）
Title: Swan classes for constructible etale sheaves
Abstract: For a constructible étale sheaf on a smooth variety, Kato-Saito’s Swan class, as a 0-cycle class supported on the ramification locus, measures the wild ramification of the sheaf. This talk will outline the construction of this class.
