Higher Hilbert spaces and their operator algebras
Organizers
Speaker
Giovanni Ferrer
Time
Wednesday, November 26, 2025 10:30 AM - 12:00 PM
Venue
A3-3-301
Online
Zoom 242 742 6089
(BIMSA)
Abstract
In recent work, we propose a (finite dimensional) notion of 3-Hilbert spaces which categorifies Baez's 2-Hilbert spaces and, in turn, complex Hilbert spaces. We then provide a manifestly unitary construction in which we condense operator algebras over lower Hilbert spaces to produce the next categorified level of the theory. We will build on Quan Chen's recent BIMSA talk to provide further details and insight into our results and recent developments.