Tensor-triangular geometry and interactions. Abstracts from the workshop held September 17--22, 2023

DOI10.4171/owr/2023/40zbMATH Open1537.00016MaRDI QIDQ6544498

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Publication date: 27 May 2024

Published in: Oberwolfach Reports (Search for Journal in Brave)

Mathematics Subject Classification ID

Proceedings of conferences of miscellaneous specific interest (00B25) Proceedings, conferences, collections, etc. pertaining to group theory (20-06) Proceedings, conferences, collections, etc. pertaining to algebraic geometry (14-06) Collections of abstracts of lectures (00B05) Motivic cohomology; motivic homotopy theory (14F42) Proceedings, conferences, collections, etc. pertaining to category theory (18-06) Proceedings, conferences, collections, etc. pertaining to algebraic topology (55-06) Proceedings, conferences, collections, etc. pertaining to commutative algebra (13-06) Cycles and subschemes (14Cxx) Representation theory of groups (20Cxx) Homological methods in commutative ring theory (13Dxx) Homological algebra in category theory, derived categories and functors (18Gxx) Applied homological algebra and category theory in algebraic topology (55Uxx) Homotopy theory (55Pxx) Modules, bimodules and ideals in associative algebras (16Dxx) Homology and cohomology theories in algebraic topology (55Nxx) Categories in geometry and topology (18Fxx)

Cites Work

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• Affine weakly regular tensor triangulated categories
• The six operations in equivariant motivic homotopy theory
• The Manin Hopf algebra of a Koszul Artin-Schelter regular algebra is quasi-hereditary
• Tensor triangular geometry and \(KK\)-theory
• Homological invariants of modules over contracting endomorphisms
• A classification of Taylor towers of functors of spaces and spectra
• The Picard group of topological modular forms via descent theory
• The spectrum of the equivariant stable homotopy category of a finite group
• Separability and triangulated categories
• Stratifying modular representations of finite groups.
• Tate cohomology and periodic localization of polynomial functors
• Globally \(F\)-regular and log Fano varieties
• Spectra, spectra, spectra -- tensor triangular spectra versus Zariski spectra of endomorphism rings
• Invariants of \(t\)-structures and classification of nullity classes
• Compactly generated \(t\)-structures on the derived category of a noetherian ring
• \(\Pi\)-supports for modules for finite group schemes.
• Graded algebras of global dimension 3
• Equivariant KK-theory and the Novikov conjecture
• The chromatic tower for \(D(R)\). With an appendix by Marcel Bökstedt
• Gersten's conjecture for some complexes of vanishing cycles
• Ringe der Charakteristik p und Frobeniusfunktoren
• Calculus. III: Taylor series
• The Balmer spectrum of the equivariant homotopy category of a finite abelian group
• Separable monoids in \(\mathbf D_{qc}(X)\)
• Separable commutative rings in the stable module category of cyclic groups
• Tensor triangular geometry of filtered modules
• Varieties for modules and a problem of Steenrod
• The connection between May's axioms for a triangulated tensor product and Happel's description of the derived category of the quiver \(D_4\)
• Presheaves of triangulated categories and reconstruction of schemes
• Stable model categories are categories of modules
• A universal characterization of higher algebraic \(K\)-theory
• The spectrum of equivariant Kasparov theory for cyclic groups of prime order
• Strong generators in \(\mathbf{D}^{\mathrm{perf}}(X)\) and \(\mathbf{D}^b_{\mathrm{coh}}(X)\)
• Quasiexcellence implies strong generation
• Three real Artin-Tate motives
• Compactly generated t-structures in the derived category of a commutative ring
• Cotilting sheaves on Noetherian schemes
• Telescope conjecture for homotopically smashing t-structures over commutative Noetherian rings
• Homology of perfect complexes
• Nilpotence theorems via homological residue fields
• A thick subcategory theorem for modules over certain ring spectra
• The spectrum of an equivariant cohomology ring. I. II
• Derived induction and restriction theory
• Annihilation of Cohomology and Strong Generation of Module Categories
• Hochster duality in derived categories and point-free reconstruction of schemes
• Support theory via actions of tensor triangulated categories
• Subcategories of singularity categories via tensor actions
• Separable extensions in tensor-triangular geometry and generalized Quillen stratification
• Good Grosshans filtration in a family
• Colocalizing subcategories of D(R)
• Generalized tensor idempotents and the telescope conjecture
• Cohomology and support varieties for Lie superalgebras
• Weight structures vs.t-structures; weight filtrations, spectral sequences, and complexes (for motives and in general)
• Stratifying triangulated categories
• The Cohomology Ring of a Finite Group
• Counting the closed subgroups of profinite groups
• Classifying spaces of subgroups of profinite groups
• F-Purity and Rational Singularity
• On Noetherian Rings of Characteristic p
• Axiomatic stable homotopy theory
• On the surjectivity of the map of spectra associated to a tensor‐triangulated functor
• Stratification for module categories of finite group schemes
• Dualizing complexes and perverse modules over differential algebras
• Characterizing Cohen-Macaulay local rings by Frobenius maps
• Tilting in abelian categories and quasitilted algebras
• Colocalizing subcategories and cosupport
• Triangulated Categories of Mixed Motives
• Computing homological residue fields in algebra and topology
• The spectrum of derived Mackey functors
• ISOTROPIC MOTIVES
• tt-geometry of Tate motives over algebraically closed fields
• The additivity of traces in monoidal derivators
• Des catégories abéliennes
• the stable derived category of a noetherian scheme
• The spectrum of prime ideals in tensor triangulated categories
• Nilpotence and stable homotopy theory. II
• The additivity of traces in triangulated categories
• Stratification in tensor triangular geometry with applications to spectral Mackey functors
• Equivariant \(\underline{\mathbb{Z} / \ell} \)-modules for the cyclic group \(C_2\)
• The Balmer spectrum of certain Deligne–Mumford stacks
• Local dualisable objects in local algebra

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