清华主页 EN
导航菜单

Splitting models and Galois representations

来源: 04-10

时间:Mon., 10:00-11:00am, Apr. 10, 2023

地点:Zoom ID: 4552601552;PW: YMSC Jin Chun Yuan West Building, 3rd floor Lecture Hall (近春园西楼三楼报告厅)

组织者:Hansheng Diao, Yueke Hu, Emmanuel Lecouturier, Cezar Lupu

主讲人:Xu Shen 申旭 Morningside Center of Mathematics

Speaker

Xu Shen 申旭

Morningside Center of Mathematics

申旭,中科院晨兴数学中心研究员、博导。本科毕业于武汉大学,后前往意大利帕多瓦大学、法国巴黎第十一大学攻读硕士,2012年博士毕业于法国巴黎第十一大学。主要研究方向为数论、算术几何等。


Abstract

We explain a geometric construction on the Pappas-Rapoport Splitting models of Shimura varieties. More precisely, we construct F-zips with additional structure of fixed type on good reductions ofsplitting models and their toroidal compactifications. Combined with the method of Goldring-Koskivirta on group theoretical Hasse invariants, thisleads to a construction of Galois pseudo-representations associated to torsion classes in coherent cohomology in the ramified setting. This is a joint work with Y. Zheng.


About Number Theory Seminar

This is a research seminar on topics related to number theory and its applications which broadly can include related areas of interests such as analytic and algebraic number theory, algebra, combinatorics, algebraic and arithmetic geometry, cryptography, representation theory etc. The speakers are also encouraged to make their talk more accessible for graduate level students.

For more information, please refer to:

http://www.bimsa.cn/newsinfo/647938.html.

返回顶部
相关文章
  • On Galois representations with large image

    AbstractIn this presentation, we will discuss the images of Galois representations. In particular, we will address the tame version of the Fontaine-Mazur conjecture, as well as the issue of the existence of Galois extensions with open image.About Christian Maire“Mes domaines d'expertises sont la théorie des nombres, l'arithmétique, l'algèbre sur les corps de nombres, les pro-p extensions, etc....

  • Eigenvarieties, families of Galois representations, p-adic L-functions

    PrerequisiteBasic commutative algebra, algebraic geometry, algebraic number theoryAbstractThis course is intended to give a gentle introduction to p-adic families of modular forms and p-adic L-functions. We roughly cover the contents of "The Eigenbook" by Belliache. We will start by introducing a general construction of eigenvariety, and discuss modular symbols and their connection to modular f...