General theory of geometric stacks: Introduction to Part 1
Homotopical algebraic context
Preliminaries on linear and commutative algebra in an HA context
Geometric stacks: Basic theory
Geometric stacks: Infinitesimal theory
Applications: Introduction to Part 2
Geometric $n$-stacks in algebraic geometry (after C. Simpson)
Derived algebraic geometry
Complicial algebraic geometry
Brave new algebraic geometry
Classifying spaces of model categories
Strictification
Representability criterion (after J. Lurie)
Bibliography
Index
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