Profinite completion of operads and the Grothendieck-Teichmüller group

DOI10.1016/j.aim.2017.09.030zbMath1385.55007arXiv1504.01605OpenAlexW2962765748MaRDI QIDQ1673990

Geoffroy Horel

Publication date: 30 October 2017

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

Full work available at URL: https://arxiv.org/abs/1504.01605

zbMATH Keywords

profinite completionlittle disk operadTeichmüller-Grothendieck group

Mathematics Subject Classification ID

Related Items (11)

Homotopic and geometric Galois theory. Abstracts from the workshop held March 7--13, 2021 (online meeting) ⋮ Little survey on I/OM and its variants and their relation to (variants of) \(\widehat{GT}\) -- old \& new ⋮ Profinite \(\infty\)-operads ⋮ Étale cohomology, purity and formality with torsion coefficients ⋮ Simplicial model structures on pro-categories ⋮ Embedding calculus and smooth structures ⋮ On two chain models for the gravity operad ⋮ Homotopical algebra and higher structures. Abstracts from the workshop held September 19--25, 2021 (hybrid meeting) ⋮ Operads of genus zero curves and the Grothendieck-Teichmüller group ⋮ Higher cyclic operads ⋮ On the formality of the little disks operad in positive characteristic

Cites Work

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• Pro-categories in homotopy theory
• On left and right model categories and left and right Bousfield localizations
• Continuous group actions on profinite spaces
• Operads of genus zero curves and the Grothendieck-Teichmüller group
• Rigidification of algebras over multi-sorted theories
• On finitely generated profinite groups. I: Strong completeness and uniform bounds. II: Products in quasisimple groups.
• Function complexes in homotopical algebra
• Genetics of homotopy theory and the Adams conjecture
• Galois Cohomology
• Axiomatic homotopy theory for operads
• Formality of chain operad of little discs
• Algebraic theories in homotopy theory
• M. Kontsevich's graph complex and the Grothendieck-Teichmüller Lie algebra
• Profinite homotopy theory
• Etale homotopy
• The geometry of iterated loop spaces
• A projective model structure on pro-simplicial sheaves, and the relative étale homotopy type
• Some remarks on profinite completion of spaces
• The two out of three property in ind-categories and a convenient model category of spaces
• Ensembles profinis simpliciaux et interprétation géométrique du foncteur $T$
• Homotopy of Operads and Grothendieck–Teichmüller Groups
• Homotopy of Operads and Grothendieck–Teichmüller Groups
• Higher Topos Theory (AM-170)
• Chern approximations for generalised group cohomology
• Model structures on ind-categories and the accessibility rank of weak equivalences

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