Higher and derived stacks: a global overview

Details Higher and derived stacks: a global overview Higher and derived stacks: a global overview

2006-04-24

arxiv.org/abs/math/0604504v3

Mathematics

Algebraic Geometry

51 pages. One reference added. More corrections (comments are still very much welcome)

Scientific paper

These are expended notes of my talk at the summer institute in algebraic geometry (Seattle, July-August 2005), whose main purpose is to present a global overview on the theory of higher and derived stacks. This text is far from being exhaustive but is intended to cover a rather large part of the subject, starting from the motivations and the foundational material, passing through some examples and basic notions, and ending with some more recent developments and open questions.

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