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
31 31

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

By Francesco Genovese

Joint work with Julia Ramos González

In this short talk, we discuss a Gabriel-Popescu theorem in the framework of dg-categories and t-structures. This exhibits any pretriangulated dg-category with a suitable t-structure (such that its heart is a Grothendieck abelian category) as a t-exact localization of a derived dg-category of dg-modules. The proof is based on a generalization of Mitchell's argument in "A quick proof of the Gabriel-Popesco theorem" and involves derived injective objects. This is joint work with Julia Ramos González (Universiteit Antwerpen).

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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