scientific article; zbMATH DE number 7806484

arXiv2109.14594MaRDI QIDQ6197833

Unnamed Author, Jonathan Paul Pridham

Publication date: 19 February 2024

Full work available at URL: https://arxiv.org/abs/2109.14594

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

simplicial methodsderived algebraic geometryinfinity categorieshypergroupoids

Mathematics Subject Classification ID

Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

• DG coalgebras as formal stacks
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Shifted symplectic structures
• Presenting higher stacks as simplicial schemes
• A letter from Kharkov to Moscow
• Homotopical algebraic geometry. I: Topos theory
• Relative categories: another model for the homotopy theory of homotopy theories
• On the derived category of a regular toric scheme
• Algebraic geometry and analytic geometry
• Unifying derived deformation theories
• About Quillen's homotopy theorie of derivatives
• Additive \(K\)-theory and crystalline cohomology
• Function complexes in homotopical algebra
• Calculating simplicial localizations
• Realization of cohomology classes in arbitrary exact categories
• Versal deformations and algebraic stacks
• Infinitesimal computations in topology
• Operads and motives in deformation quantization
• Koszul duality for operads
• The intrinsic normal cone
• \(Q\)-manifolds and Mackenzie theory
• Homotopy invariant algebraic structures on topological spaces
• Quasi-categories and Kan complexes
• Deformation quantization of Poisson manifolds
• The cyclic homology of affine algebras
• Derived deformations of schemes
• Constructing derived moduli stacks
• The derived deformation theory of a point
• Nonabelian reciprocity laws and higher Brauer-Manin obstructions
• The universal Lie \(\infty\)-algebroid of a singular foliation
• A differential graded model for derived analytic geometry
• Derived deformations of Artin stacks
• Lie theory for nilpotent \(L_{\infty}\)-algebras
• Virtual fundamental classes for moduli spaces of sheaves on Calabi-Yau four-folds
• Affine stacks
• Algèbre locale. Multiplicités. Cours au Collège de France, 1957-1958, rédigé par Pierre Gabriel. 2e ed.
• Homotopical algebra
• The irreducibility of the space of curves of a given genus
• Rational homotopy theory
• Séminaire de géométrie algébrique du Bois Marie 1966/67, SGA 6.Dirigé par P. Berthelot, A. Grothendieck et L. Illusie, Avec la collaboration de D. Ferrand, J. P. Jouanolou, O. Jussilia, S. Kleiman, M. Raynaud et J. P. Serre. Théorie des intersections et théorème de Riemann-Roch
• Complexe cotangent et déformations. I. (The cotangent complex and deformations. I.)
• Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 2: Exp. V--VIII
• Théorie de Hodge. III
• Algebraic De Rham cohomology
• Complexe cotangent et déformations. II
• Semi-regularity and de Rham cohomology
• The relationship between the diagonal and the bar constructions on a bisimplicial set
• Derived quot schemes
• The Geometry of the Master Equation and Topological Quantum Field Theory
• On Theories of Superalgebras of Differentiable Functions
• Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence
• Derived moduli of schemes and sheaves
• Representability of derived stacks
• Deformations of Homotopy Algebras
• Adjoint Functors
• Sheaves on Artin stacks
• Pro-algebraic homotopy types
• Higher Poisson Brackets and Differential Forms
• n-Groupoids and Stacky Groupoids
• Chern Character, Loop Spaces and Derived Algebraic Geometry
• On the Representability of Homotopy Functors
• C ∞ -Schemes
• Simplicial methods and the interpretation of “triple” cohomology
• The Hodge filtration on nonabelian cohomology
• Derived Hilbert schemes
• Higher Categories and Homotopical Algebra
• On 1-form classifiers^∗
• Homotopical categories: from model categories to $(\infty,1)$-categories
• The Logic of Quantum Mechanics (Revisited)
• Shifted Poisson and symplectic structures on derived N-stacks
• Shifted Poisson structures and deformation quantization
• Homotopical algebraic geometry. II. Geometric stacks and applications
• Ind-coherent sheaves
• Moduli of objects in dg-categories
• Deformations of schemes and other bialgebraic structures
• Higher Topos Theory (AM-170)
• The Cotangent Complex of a Morphism
• Functors of Artin Rings
• Simplicial homotopy theory