Topological Realisations of Absolute Galois Groups

DOI10.1007/978-3-319-95549-0_8zbMath1439.14074arXiv1609.04717OpenAlexW2964329397MaRDI QIDQ5210902

Robert A. Kucharczyk, Peter Scholze

Publication date: 16 January 2020

Published in: Cohomology of Arithmetic Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.04717

zbMATH Keywords

Galois groupsfundamental groupsWitt vectors

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Homotopy theory and fundamental groups in algebraic geometry (14F35)

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Cites Work

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• K-theory of endomorphisms
• On motivic cohomology with \(\mathbb{Z}/l\)-coefficients
• The basic geometry of Witt vectors. I: The affine case
• Algebraic geometry and analytic geometry
• \(p\)-adic étale cohomology
• Infinite Abelian groups, Whitehead problem and some constructions
• A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals
• Equivariant homology for totally disconnected groups
• Endomorphisms of finitely generated projective modules over a commutative ring
• Hecke algebras, type III factors and phase transitions with spontaneous symmetry breaking in number theory
• Perfectoid spaces
• The fundamental group as a topological group
• Semicoverings: a generalization of covering space theory
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• Euler characteristics
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• Analytische Funktionen mehrerer komplexer Veränderlichen zu vorgegebenen Periodizitätsmoduln und das zweite Cousinsche Problem
• The pro-\'etale topology for schemes
• Multiplication is Discontinuous in the Hawaiian Earring Group (with the Quotient Topology)
• Witt vectors. Part 1
• Unit Groups of Infinite Abelian Extensions
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés