Separable commutative algebras and Galois theory in stable homotopy theories

DOI10.1016/J.AIM.2024.109736MaRDI QIDQ6553206

Luca Pol, Niko Naumann

Publication date: 11 June 2024

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

zbMATH Keywords

Galois theorytt-geometryseparable commutative algebras

Mathematics Subject Classification ID

Modular representations and characters (20C20) Stable homotopy theory, spectra (55P42) Étale and other Grothendieck topologies and (co)homologies (14F20) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Derived categories, triangulated categories (18G80) Fundamental constructions in algebraic geometry involving higher and derived categories (homotopical algebraic geometry, derived algebraic geometry, etc.) (14A30)

Cites Work

• Title not available (Why is that?)
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• Separability and triangulated categories
• Monads and comonads on module categories
• Restriction to finite-index subgroups as étale extensions in topology, KK-theory and geometry
• Spectra, spectra, spectra -- tensor triangular spectra versus Zariski spectra of endomorphism rings
• A note on triangulated monads and categories of module spectra
• Quasi-Galois theory in symmetric monoidal categories
• Separable monoids in \(\mathbf D_{qc}(X)\)
• Separable commutative rings in the stable module category of cyclic groups
• Stacks of group representations.
• Chromatic homotopy theory is asymptotically algebraic
• Uniquely separable extensions
• On the \(K\)-theory of pullbacks
• Topological Hochschild homology and cohomology of \(A_{\infty }\) ring spectra
• Splitting tower and degree of tt-rings
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas (Quatrième partie). Rédigé avec la colloboration de J. Dieudonné
• On the centralizers of involutions in finite groups. II
• The spectrum of an equivariant cohomology ring. I. II
• The Galois group of a stable homotopy theory
• THE DERIVED CATEGORY OF AN ÉTALE EXTENSION AND THE SEPARABLE NEEMAN–THOMASON THEOREM
• A Survey of Elliptic Cohomology
• Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128)
• The Geometry of Schemes
• Products on 𝑀𝑈-modules
• On the surjectivity of the map of spectra associated to a tensor‐triangulated functor
• Separable Algebras
• Perfect complexes on algebraic stacks
• Module categories for group algebras over commutative rings
• Affineness and chromatic homotopy theory
• Supports and filtrations in algebraic geometry and modular representation theory
• Morava $E$-theory of filtered colimits
• Galois extensions of structured ring spectra. Stably dualizable groups
• Higher Topos Theory (AM-170)
• The spectrum of prime ideals in tensor triangulated categories
• Examples of descent up to nilpotence

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