Splitting models and Galois representations

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.

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