You are cordially invited to the Topology Seminar organized by the Department of Mathematics.
Speaker: Rune Haugseng (Norwegien University of Science and Technology)
“Higher Morita categories”
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.
Date: Apr 12, 2021
Time: 13:30 UTC+3
This is an online seminar. To request the event link, please send a message to firstname.lastname@example.org