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Pre-sheaves of spaces and the Grothendieck construction in higher geometry
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OASW02 - Subfactors, higher geometry, higher twists and almost Calabi-Yau algebras
The notion of pre-stack in algebraic geometry can be formulated either in terms of categories fibered in groupoids, or else as a functor to the category of groupoids with composites only preserved up to a coherent system of natural isomorphisms. The device which lets one shift from one perspective to the other is known as the `Grothendieck construction' in category theory.
This talk is part of the Isaac Newton Institute Seminar Series series.
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