Derived Algebraic Geometry

Abstract

This text is a survey of derived algebraic geometry. It covers a variety of general notions and results from the subject with a view on the recent developments at the interface with deformation quantization.

Final version. To appear in EMS Surveys in Mathematical Sciences

References in corpus (9)

• Higher Topos Theory
• Quasi-Hamiltonian reduction via classical Chern-Simons theory
• p-adic derived de Rham cohomology
• Completions and derived de Rham cohomology
• Proper local complete intersection morphisms preserve perfect complexes
• Differential Graded Schemes II: The 2-category of Differential Graded Schemes
• On the Gauss-Manin connection in cyclic homology
• The Derived Marsden-Weinstein Quotient is Symplectic
• Grothendieck-Riemann-Roch for derived schemes

Cited by in corpus (7)

• Relative Calabi-Yau structures
• On the combinatorics of exact Lagrangian surfaces
• Derived Algebraic Geometry and Deformation Quantization
• Lectures on shifted Poisson geometry
• Moduli of $p$-adic representations of a profinite group
• Derived ${\mathcal{O}}_k$-adic geometry and derived Raynaud localization theorem
• Filtered formal groups, Cartier duality, and derived algebraic geometry