BIMSA > BIMSA-YMSC Tsinghua Number Theory Seminar Splitting models and Galois representations
Splitting models and Galois representations
Organizers
Hansheng Diao , Yueke Hu , Emmanuel Lecouturier , Cezar Lupu
Speaker
Xu Shen
Time
Monday, April 10, 2023 10:00 AM - 11:00 AM
Venue
JCY-Hall
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 of splitting models and their toroidal compactifications. Combined with the method of Goldring-Koskivirta on group theoretical Hasse invariants, this leads 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.