Derived algebraic geometry

0pt20ptRésumés des articles
0pt20ptAbstracts
0pt20ptINTRODUCTION
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title
1. Introduction
2. Affine derived geometry
3. Étale topology and derived stacks
4. Derived algebraic stacks
5. Lurie's Representability Theorem
6. DAG ``explains'' classical deformation theory
7. Forms and closed forms
8. Shifted symplectic geometry
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title
1. Introduction
2. Overview
3. Traces in category theory
4. Traces in Geometry
5. Traces for sheaves
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title
Introduction
1. Introduction to pointed formal moduli problems for commutative algebras
2. General formal moduli problems and Koszul duality
3. DG-Lie algebroids and formal moduli problems under Spec(A)
4. Global aspects
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title
1. Introduction
2. Moduli space of stable maps, cohomological field theory and operads
3. Lax algebra structure on X
4. Proof of our main result
5. Comparison with other definition
Appendix A. Proof of Theorem 5.3.11
Appendix B. Proof of Theorem 5.4.3.(1)
Appendix C. Alternative proof of Corollary B.4 in the affine case
References
title
Introduction
1. Shifted Poisson algebras
2. Coisotropic and Lagrangian structures
3. Examples
References