Derived moduli of complexes and derived Grassmannians

DOI10.1007/s10485-016-9439-xzbMath1399.14005arXiv1407.5900OpenAlexW2227060620WikidataQ59613260 ScholiaQ59613260MaRDI QIDQ1701174

Carmelo Di Natale

Publication date: 22 February 2018

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.5900

zbMATH Keywords

Grassmannianmodel categoryfiltered complexderived geometric stackLurie-Pridham representabilityRees functor

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Algebraic moduli problems, moduli of vector bundles (14D20) Stacks and moduli problems (14D23)

Related Items

Algebraic models of local period maps and Yukawa algebras ⋮ Complete \(L_\infty \)-algebras and their homotopy theory ⋮ Model category structures and spectral sequences ⋮ The global derived period map

Cites Work

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• Shifted symplectic structures
• Presenting higher stacks as simplicial schemes
• On the derived category of a regular toric scheme
• The homotopy theory of dg-categories and derived Morita theory
• Versal deformations and algebraic stacks
• Riemann-Roch theorems via deformation quantization. I
• A Quillen model structure on the category of dg categories
• Differential graded versus simplicial categories
• Derived algebraic geometry, determinants of perfect complexes, and applications to obstruction theories for maps and complexes
• Homotopical algebra
• Complexe cotangent et déformations. II
• The relationship between the diagonal and the bar constructions on a bisimplicial set
• Lectures on DG-Categories
• Derived moduli of schemes and sheaves
• Representability of derived stacks
• Moduli of complexes on a proper morphism
• Deformations of Algebraic Schemes
• Real Non-Abelian Mixed Hodge Structures for Quasi-Projective Varieties: Formality and Splitting
• Homotopical algebraic geometry. II. Geometric stacks and applications
• Moduli of objects in dg-categories
• Higher Topos Theory (AM-170)
• Mapping stacks and categorical notions of properness
• Simplicial homotopy theory
• DG coalgebras as formal stacks