Derived Hecke action at p and the ordinary p -adic cohomology of arithmetic manifolds

DOI10.1353/ajm.2023.a913294arXiv2004.06241OpenAlexW3017271571MaRDI QIDQ6139702

Chandrashekhar B. Khare, Niccolò Ronchetti

Publication date: 19 January 2024

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.06241

Mathematics Subject Classification ID

Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Cohomology of arithmetic groups (11F75)

Cites Work

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• Deformations of Galois representations and exceptional monodromy
• Deformations of polarized automorphic Galois representations and adjoint Selmer groups
• On the rigid cohomology of certain Shimura varieties
• Cohomology of arithmetic groups and periods of automorphic forms
• On the \(\mathrm {GL}_n\)-eigenvariety and a conjecture of Venkatesh
• Even Galois representations and the Fontaine-Mazur conjecture
• On torsion in the cohomology of locally symmetric varieties
• Automorphic induction and Leopoldt type conjectures for \(\text{GL}(n)\)
• Modularity lifting beyond the Taylor-Wiles method
• Derived Galois deformation rings
• Relative deformation theory, relative Selmer groups, and lifting irreducible Galois representations
• Minimal modularity lifting for nonregular symplectic representations
• Modularity lifting theorems for ordinary Galois representations
• Potential automorphy and change of weight
• Potential automorphy over CM fields
• The conjectural connections between automorphic representations and Galois representations
• Control theorems of $p$-nearly ordinary cohomology groups for $\text {SL} (n)$
• Integral elements of K-theory and products of modular curves II
• Percolation on uniform quadrangulations and SLE$_6$ on $\sqrt{8/3}$-Liouville quantum gravity
• The modular pro-$p$ Iwahori-Hecke ${\operatorname{Ext}}$-algebra
• DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS
• Derived Hecke Algebra for Weight One Forms
• Nearly ordinary Galois deformations over arbitrary number fields
• Möbius orthogonality for generalized Morse-Kakutani flows

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