Higher Morita categories
Rune Haugseng (Norwegien University of Science and Technology)
Abstract: Classical Morita theory for associative algebras can be described in terms of a 2-category with associative algebras as objects, bimodules as morphisms, and bimodule homomorphisms as 2-morphisms; this can be further enhanced to a double category that also includes algebra homomorphisms. More generally, we can consider 2-categories and double categories of enriched categories and bimodules between them. I will discuss homotopical versions of these structures and their higher-dimensional generalizations to $E_n$-algebras and enriched n-categories, which are of interest as targets for fully extended TQFTs.
algebraic topologycategory theorygroup theoryK-theory and homology
Audience: researchers in the topic
Series comments: Contact the organizer to get access to Zoom.
Recordings of talks available at www.youtube.com/channel/UCLrmyGpqxyeVpTcA1b5HcMw/videos
| Organizer: | Cihan Okay* |
| *contact for this listing |