Artin glueings as semidirect products
 
 
Description:  Artin glueings provide a way to reconstruct a locale (or topos) from a closed sublocale (subtopos) and its open complement. In this talk I will explain how Artin glueings of frames can be described as weakly Schreier split extensions in the category of frames and finite-meet-preserving maps. The result has a generalisation to the 2-category of toposes, finite-limit-preserving functors and natural transformations. This should provide an instructive example of the as-yet-undefined notion of 2-dimensional (S-)protomodularity.
Date:  2022-07-21
Start Time:   16:00
Speaker:  Graham Manuell (CMUC, Univ. Coimbra)
Institution:  CMUC, University of Coimbra
Place:  Sala 4.6
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