Quillen stratification in equivariant homotopy theory
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Publication:6659472
DOI10.1007/s00222-024-01301-0MaRDI QIDQ6659472
Tobias Barthel, Natàlia Castellana, Drew Heard, Luca Pol, Niko Naumann
Publication date: 9 January 2025
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Stable homotopy theory, spectra (55P42) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Categories in geometry and topology (18F99) Equivariant homotopy theory in algebraic topology (55P91)
Cites Work
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- Affine weakly regular tensor triangulated categories
- Spectral Mackey functors and equivariant algebraic \(K\)-theory. I.
- Nilpotence and descent in equivariant stable homotopy theory
- The spectrum of the equivariant stable homotopy category of a finite group
- Separability and triangulated categories
- Localising subcategories for cochains on the classifying space of a finite group
- Representations of finite groups. Local cohomology and support.
- Stratifying modular representations of finite groups.
- 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
- Complexes of injective \(kG\)-modules.
- Noetherian localisations of categories of cobordism comodules
- Equivariant stable homotopy theory. With contributions by J. E. McClure
- Nilpotence and stable homotopy theory. I
- Transformation groups and representation theory
- The spectrum of equivariant K-theory
- The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
- Equivariant forms of connective K-theory
- Varieties and local cohomology for chromatic group cohomology rings
- Finite subgroups of formal groups
- Proof ot the theorem that those finite linear groups of substitutions, in which some througout vanishing coefficients appear are intransitive.
- A note on triangulated monads and categories of module spectra
- The Balmer spectrum of the equivariant homotopy category of a finite abelian group
- Stable model categories are categories of modules
- Transchromatic generalized character maps
- The spectrum of equivariant Kasparov theory for cyclic groups of prime order
- Three real Artin-Tate motives
- Permutation modules and cohomological singularity
- \(C_2\)-equivariant stable homotopy from real motivic stable homotopy
- A resolution of the \(K(2)\)-local sphere at the prime 3
- Splitting tower and degree of tt-rings
- Equivariant K-theory
- The representation ring of a compact Lie group
- The spectrum of an equivariant cohomology ring. I. II
- On the nonexistence of elements of Kervaire invariant one
- Derived induction and restriction theory
- Support theory via actions of tensor triangulated categories
- Separable extensions in tensor-triangular geometry and generalized Quillen stratification
- Generalized tensor idempotents and the telescope conjecture
- Stratifying triangulated categories
- THE DERIVED CATEGORY OF AN ÉTALE EXTENSION AND THE SEPARABLE NEEMAN–THOMASON THEOREM
- ELLIPTIC MODULES
- Axiomatic stable homotopy theory
- On the surjectivity of the map of spectra associated to a tensor‐triangulated functor
- Global Homotopy Theory
- The Grothendieck duality theorem via Bousfield’s techniques and Brown representability
- Generalized group characters and complex oriented cohomology theories
- The spectrum of derived Mackey functors
- On the Balmer spectrum for compact Lie groups
- Grothendieck–Neeman duality and the Wirthmüller isomorphism
- Supports and filtrations in algebraic geometry and modular representation theory
- K-theory, reality, and duality
- Higher Topos Theory (AM-170)
- K-THEORY AND REALITY
- The spectrum of prime ideals in tensor triangulated categories
- Nilpotence and stable homotopy theory. II
- Stratification in tensor triangular geometry with applications to spectral Mackey functors
- On equivariant topological modular forms
- The Balmer spectrum of certain Deligne–Mumford stacks
- Fibrewise stratification of group representations
- Models of \(G\)-spectra as presheaves of spectra
- Descent and vanishing in chromatic algebraic \(K\)-theory via group actions
- Examples of descent up to nilpotence
- Stratified noncommutative geometry
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