Olivia Caramello - Introduction to sheaves, stacks and relative toposes

Collection Olivia Caramello - Introduction to sheaves, stacks and relative toposes

Organizer(s) Olivia Caramello, Alain Connes, Laurent Lafforgue
Date(s) 24/06/2021 - 26/06/2021
linked URL https://aroundtoposes.com/toposesonline/
00:00:00 / 00:00:00
3 4

3/4 Introduction to sheaves, stacks and relative toposes

By Olivia Caramello

This course provides a geometric introduction to (relative) topos theory. The first part of the course will describe the basic theory of sheaves on a site, the main structural properties of Grothendieck toposes and the way in which morphisms between toposes are induced by suitable kinds of functors between sites. The second part, based on joint work with Riccardo Zanfa, will present an approach to relative topos theory (i.e. topos theory over an arbitrary base topos) based on stacks and a suitable notion of relative site.

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