Generalized presheaf-bundle adjunctions

Abstract: We present two new results generalizing the well-known presheaf-bundle adjunction for topological spaces, which relate indexed categories (and presheaves) over a site (C,J) with toposes over the topos Sh(C,J). The content of this seminar can be found in a joint work with Olivia Caramello titled Relative topos theory via stacks, and currently available on arXiv.

category theory

Audience: researchers in the topic

ItaCa Fest 2021

Series comments: ItaCa Fest is an online webinar aimed to gather the community of ItaCa.