Tensor-triangular fields: ruminations

DOI10.1007/s00029-019-0454-2zbMath1409.18011arXiv1707.02167OpenAlexW3099738767MaRDI QIDQ1726001

Paul Balmer, Henning Krause, Greg Stevenson

Publication date: 15 February 2019

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02167

zbMATH Keywords

module categoryresidue fieldtt-geometry

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Abstract and axiomatic homotopy theory in algebraic topology (55U35)

Related Items

Three real Artin-Tate motives, Support theory for Drinfeld doubles of some infinitesimal group schemes, Homological support of big objects in tensor-triangulated categories, Mini-workshop: Chromatic phenomena and duality in homotopy theory and representation theory. Abstracts from the mini-workshop held March 4--10, 2018, Computing homological residue fields in algebra and topology, Nilpotence theorems via homological residue fields

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Residue fields for a class of rational \(\mathbf E_{\infty}\)-rings and applications
• 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
• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• Primes and fields in stable motivic homotopy theory
• Smashing subcategories and the telescope conjecture -- an algebraic approach
• Relative homological algebra and purity in triangulated categories
• Nilpotence theorems via homological residue fields
• Sur quelques points d'algèbre homologique
• Triangulated Categories
• Generalized tensor idempotents and the telescope conjecture
• Axiomatic stable homotopy theory
• Endofiniteness in stable homotopy theory
• A Tour of Support Theory for Triangulated Categories Through Tensor Triangular Geometry
• Homotopy Invariant Algebraic Structures
• Representation Theory of Artin Algebras II
• The frame of smashing tensor-ideals
• The connection between the $K$-theory localization theorem of Thomason, Trobaugh and Yao and the smashing subcategories of Bousfield and Ravenel
• Grothendieck–Neeman duality and the Wirthmüller isomorphism
• Modules of constant Jordan type
• Des catégories abéliennes