PATCHING AND THE COMPLETED HOMOLOGY OF LOCALLY SYMMETRIC SPACES

DOI10.1017/S1474748020000158MaRDI QIDQ5037527

James Newton, Toby Gee

Publication date: 1 March 2022

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

Full work available at URL: https://arxiv.org/abs/1609.06965

zbMATH Keywords

Galois representationslocally symmetric spacescompleted cohomology\(p\)-adic local Langlands

Mathematics Subject Classification ID

Galois representations (11F80) Cohomology of arithmetic groups (11F75)

Related Items

ON SOME CONSEQUENCES OF A THEOREM OF J. LUDWIG, The Fontaine-Mazur conjecture in the residually reducible case, Local-global compatibility of mod \(p\) Langlands program for certain Shimura varieties, On the étale cohomology of Hilbert modular varieties with torsion coefficients, Gelfand-Kirillov dimension and mod \(p\) cohomology for \(\mathrm{GL}_2 \), Zeta morphisms for rank two universal deformations, Gelfand-Kirillov dimension and the \(p\)-adic Jacquet-Langlands correspondence, A local analogue of the ghost conjecture of Bergdall-Pollack, Patching and the -adic Langlands program for, Shimura varieties at level and Galois representations, Potential automorphy over CM fields, On the density of supercuspidal points of fixed regular weight in local deformation rings and global Hecke algebras, Diagrams in the mod p cohomology of Shimura curves

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