Derived Galois deformation rings

DOI10.1016/j.aim.2017.08.016zbMath1466.11029arXiv1608.07236OpenAlexW2518171634WikidataQ101259212 ScholiaQ101259212MaRDI QIDQ1701016

Akshay Venkatesh, Søren Galatius

Publication date: 22 February 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.07236

zbMATH Keywords

automorphic formGalois deformationcohomology of arithmetic groupsderived algebraic geometry

Mathematics Subject Classification ID

Galois representations (11F80) Cohomology of arithmetic groups (11F75) Geometric Langlands program (algebro-geometric aspects) (14D24) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Related Items (16)

Class groups and local indecomposability for non-CM forms ⋮ PATCHING AND THE COMPLETED HOMOLOGY OF LOCALLY SYMMETRIC SPACES ⋮ The Galois action on symplectic K-theory ⋮ The rank of Mazur's Eisenstein ideal ⋮ On local Galois deformation rings ⋮ Reciprocity in the Langlands program since Fermat's last theorem ⋮ Derived Hecke action at p and the ordinary p -adic cohomology of arithmetic manifolds ⋮ The Eisenstein ideal for weight \(k\) and a Bloch-Kato conjecture for tame families ⋮ Working session: Derived Galois deformation rings and cohomology of arithmetic groups. Abstracts from the working session held April 4--10, 2021 (hybrid meeting) ⋮ On crystabelline deformation rings of \(\mathrm{Gal}(\overline{\mathbb {Q}}_p/\mathbb {Q}_p)\) (with an appendix by Jack Shotton) ⋮ Cohomology of arithmetic groups and periods of automorphic forms ⋮ On the \(\mathrm {GL}_n\)-eigenvariety and a conjecture of Venkatesh ⋮ DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS ⋮ Derived Hecke Algebra for Weight One Forms ⋮ The derived Hecke algebra for dihedral weight one forms ⋮ Hodge theory of $p$-adic varieties: a survey

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