Tomorrow and on Sunday the “Simposio Matematico RIMSE 2022” will take place online. This two-day conference is the annual edition of the national meeting of the RIMSE (Italian Network of the Mathematicians from the Excellence Schools).
The programme of the event can be found here. I have been invited to give a Lectio Magistralis at the conference, which is scheduled for tomorrow at 15:00.
I have been invited to give a talk on this occasion. The title of my presentation is Relative toposes as a generalization of locales. The abstract is as follows:
The aim of this talk is to present a way for representing relative toposes which naturally generalizes the construction of the topos of sheaves on a locale, and which is particularly effective for describing the morphisms between relative toposes in a concrete way. Our theoretical framework is based on the language of stacks and fibred sites, and provides, amongst other things, a unified setting for investigating the relationships between Grothendieck toposes as built from sites and elementary toposes as built from triposes.