Toposes Online

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
15 31

Extending the topological presheaf-bundle adjunction to sites and toposes

By Riccardo Zanfa

A well-known result in topology states that for any topological space X there exists an adjunction between its category of presheaves Psh(X) and the category of bundles over X, i.e. Top/X. The purpose of this talk is to extend this result by replacing X with a small site (C,J), by using the tools of fibrations and of comorphisms of sites. One particularly relevant consequence is a geometric perspective on the sheafification functor a:Psh(C) -- Sh(C,J).

The content of the talk stems from a joint work with Olivia Caramello, Relative topos theory via stacks: https://arxiv.org/abs/2107.04417

Information about the video

  • Date of recording 28/06/2021
  • Date of publication 28/06/2021
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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