[Alta-Logic] Peripatetic Seminar on Friday

[Florian Schwarz]

Dear all,

On Friday, November 22nd Kalin Krishna will speak in the peripatetic 
seminar. It will be streamed through zoom at 10am in ICT 616.

Title: Higher groupoids and higher generalized morphisms

Abstract: Higher groupoids play a crucial role in the active research 
area of interplay between higher categorical structures and other fields 
of mathematics. We give the notion of a Good Geometric category, where 
one can define and study these higher structures with applications to 
geometry, for example the category of smooth manifolds. We define the 
notion of higher groupoids in Good Geometric categories and organize 
them into an (∞, 1) categorical framework. The morphisms between the 
higher groupoids are given by bibundles which are Kan fibrations over 
the interval. Higher morphisms will be modelled by Kan fibrations over 
the higher simplices. This approach gives a more combinatorial and 
geometric way of approaching anafunctors and higher generalised 
morphisms between groupoids. This is of particular interest in higher 
gauge theory and string theory, where the higher connection on higher 
bundles will give the notion of parallel transport of strings and surfaces.

Website: https://logic.ucalgary.ca

Hope to see you there!

Best regards,
Florian Schwarz