TORSION GALOIS REPRESENTATIONS OVER CM FIELDS AND HECKE ALGEBRAS IN THE DERIVED CATEGORY

DOI10.1017/fms.2016.16zbMath1404.11072arXiv1511.04913OpenAlexW2963226629MaRDI QIDQ2971030

James Newton, Jack A. Thorne

Publication date: 4 April 2017

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04913

Mathematics Subject Classification ID

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

Related Items

PATCHING AND THE COMPLETED HOMOLOGY OF LOCALLY SYMMETRIC SPACES ⋮ Integral period relations and congruences ⋮ On the Eisenstein functoriality in cohomology for maximal parabolic subgroups ⋮ On the étale cohomology of Hilbert modular varieties with torsion coefficients ⋮ Elliptic curves and modularity ⋮ The cohomology of Shimura varieties with torsion coefficients ⋮ A p$p$‐adic approach to the existence of level‐raising congruences ⋮ Shimura varieties at level and Galois representations ⋮ Adjoint Selmer groups of automorphic Galois representations of unitary type ⋮ Derived Galois deformation rings ⋮ Potential automorphy over CM fields ⋮ Coherent cohomology and Galois representations ⋮ On the \(\mathrm {GL}_n\)-eigenvariety and a conjecture of Venkatesh ⋮ Symmetric power functoriality for holomorphic modular forms. II. ⋮ On representations of reductive p-adic groups over ℚ-algebras ⋮ Automorphy lifting with adequate image

Cites Work

• Unnamed Item
• Cohomology of sheaves
• Vanishing theorems for torsion automorphic sheaves on general PEL-type Shimura varieties
• Vanishing theorems for torsion automorphic sheaves on compact PEL-type Shimura varieties
• Irreducible modules and Levi supplements
• On torsion in the cohomology of locally symmetric varieties
• Cohomologie étale. Seminaire de géométrie algébrique du Bois-Marie SGA 4 1/2 par P. Deligne, avec la collaboration de J. F. Boutot, A. Grothendieck, L. Illusie et J. L. Verdier
• Equivariant sheaves and functors
• A generalization of formal schemes and rigid analytic varieties
• Galois representations with conjectural connections to arithmetic cohomology
• Perfectoid spaces
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• A NOETHER–DEURING THEOREM FOR DERIVED CATEGORIES
• Des catégories abéliennes