Simplicial Galois Deformation Functors

DOI10.1007/978-981-16-7121-0_8zbMath1498.11126arXiv2007.02647OpenAlexW3038539887MaRDI QIDQ5050984

Yichang Cai, Jacques Tilouine

Publication date: 18 November 2022

Published in: Infosys Science Foundation Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.02647

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Local ground fields in algebraic geometry (14G20) Congruences for modular and (p)-adic modular forms (11F33) Galois representations (11F80) Modular and Shimura varieties (14G35) Perfectoid spaces and mixed characteristic (14G45)

Cites Work

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• On the rigid cohomology of certain Shimura varieties
• On torsion in the cohomology of locally symmetric varieties
• Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II
• Modularity lifting beyond the Taylor-Wiles method
• Modular elliptic curves and Fermat's Last Theorem
• Modularity lifting theorems for ordinary Galois representations
• A geometric approach to complete reducibility.
• The relationship between the diagonal and the bar constructions on a bisimplicial set
• Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale
• Functors of Artin Rings
• Simplicial homotopy theory

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