ON THE COHOMOLOGY OF SOME SIMPLE SHIMURA VARIETIES WITH BAD REDUCTION

DOI10.1017/S1474748016000372zbMath1461.11094arXiv1411.0245MaRDI QIDQ4562011

Xu Shen

Publication date: 14 December 2018

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.0245

zbMATH Keywords

cohomologyShimura varietiesquaternion algebras

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35) (p)-adic cohomology, crystalline cohomology (14F30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Representations of \(GL(n)\) and division algebras over a p-adic field
• Shimura varieties and twisted orbital integrals
• Lefschetz-Verdier trace formula and a generalization of a theorem of Fujiwara
• On the \(\lambda\)-adic representations associated to some simple Shimura varieties
• The semi-simple zeta function of quaternionic Shimura varieties
• On the zeta function of quaternionic Shimura varieties
• Reduction of Shimura varieties at parahoric levels
• Cohomology of quaternionic Shimura varieties at parahoric levels
• On the local zeta function of quaternionic Shimura varieties with bad reduction
• The Langlands-Kottwitz approach for some simple Shimura varieties
• The local Langlands correspondence for \(\mathrm{GL}_n\) over \(p\)-adic fields
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• The stable Bernstein center and test functions for Shimura varieties
• On the Zeta-Functions of Some Simple Shimura Varieties
• Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
• Points on Some Shimura Varieties Over Finite Fields
• Period Spaces for "p"-divisible Groups (AM-141)
• The Langlands-Kottwitz method and deformation spaces of 𝑝-divisible groups
• On the cohomology of compact unitary group Shimura varieties at ramified split places
• On the flatness of models of certain Shimura varieties of PEL-type

This page was built for publication: ON THE COHOMOLOGY OF SOME SIMPLE SHIMURA VARIETIES WITH BAD REDUCTION