Affineness and chromatic homotopy theory

DOI10.1112/jtopol/jtv005zbMath1325.55004arXiv1311.0514OpenAlexW3103877949MaRDI QIDQ5259824

Lennart Meier, Akhil Mathew

Publication date: 29 June 2015

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.0514

zbMATH Keywords

topological modular formsderived stacksGalois extensions of ring spectra

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Elliptic cohomology (55N34) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43) Stacks and moduli problems (14D23)

Related Items (16)

Galois descent for real spectra ⋮ The Galois group of a stable homotopy theory ⋮ Nilpotence and descent in equivariant stable homotopy theory ⋮ The \(C_2\)-spectrum \(\mathrm{Tmf}_1(3)\) and its invertible modules ⋮ Descent in algebraic \(K\)-theory and a conjecture of Ausoni-Rognes ⋮ Detecting and describing ramification for structured ring spectra ⋮ Connective models for topological modular forms of level \(n\) ⋮ \(C_2\)-equivariant topological modular forms ⋮ Picard groups of higher real -theory spectra at height ⋮ What is an equivalence in a higher category? ⋮ The Balmer spectrum of the equivariant homotopy category of a finite abelian group ⋮ Rings of modular forms and a splitting of \(\mathrm{TMF}_0(7)\) ⋮ Topological modular forms with level structure ⋮ A thick subcategory theorem for modules over certain ring spectra ⋮ Twisted differential cohomology ⋮ Topological modular forms with level structure: Decompositions and duality

Cites Work

• Quotients by groupoids
• Tame stacks in positive characteristic
• The mathematical work of Douglas C. Ravenel
• Galois extensions of Lubin-Tate spectra
• Nilpotence and stable homotopy theory. I
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• Topological hypercovers and \(\mathbb{A}^1\)-realizations
• Elliptic spectra, the Witten genus and the theorem of the cube
• Quasi-categories and Kan complexes
• Stable model categories are categories of modules
• Affine stacks
• Equivariant \(K\)-theory and completion
• The Galois group of a stable homotopy theory
• Strictly Commutative Realizations of Diagrams Over the Steenrod Algebra and Topological Modular Forms at the Prime 2
• Separable extensions in tensor-triangular geometry and generalized Quillen stratification
• Sheaves of categories and the notion of 1-affineness
• Realizability of algebraic Galois extensions by strictly commutative ring spectra
• Homological Properties of Comodules Over MU ∗ (MU) and BP ∗ (BP)
• Invertible Spectra in the E (n )-Local Stable Homotopy Category
• ARITHMETIC MODULI OF GENERALIZED ELLIPTIC CURVES
• Galois extensions of structured ring spectra. Stably dualizable groups
• Nilpotence and stable homotopy theory. II
• Topological modular forms with level structure

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