Collection Toposes Online

Organizer(s) Olivia Caramello, Alain Connes, Laurent Lafforgue

Date(s) 28/06/2021 - 30/06/2021

linked URL https://aroundtoposes.com/toposesonline/

00:00:00 / 00:00:00

27 31

Sheaves on T-topologies

Let T be a suitable family of open subsets of a topological space X stable under unions and intersections. Starting from T we construct a (Grothendieck) topology on X and we consider the associated category of sheaves. This gives a unifying description of various constructions in different fields of mathematics.

Information about the video

Date of recording 28/06/2021
Date of publication 28/06/2021
Institution IHES
Licence CC BY-NC-ND
Language English
Audience Researchers
Format MP4

Domain(s)

MSC codes

18B25 Topoi

Document(s)

Slides

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All the collection videos

4 videos

published on June 26, 2021

Olivia Caramello - Introduction to sheaves, stacks and relative toposes

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published on June 26, 2021

Laurent Lafforgue - Classifying toposes of geometric theories

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The Logic and Geometry of Localic Morphisms

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Gluing classifying toposes

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The sheaf-theoretic structure of contextuality and non-locality

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Sheaves on T-topologies

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Toposes of presheaves on monoids as generalized topological spaces

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Covariant Isotropy of Grothendieck Toposes

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published on June 28, 2021

A derived Gabriel-Popescu Theorem for T-structures via derived injectives

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