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Giovanni Ferrer - Higher Hilbert spaces and their operator algebras

BIMSA-Tsinghua Quantum Symmetry Seminar 2025-11-26 Speaker: Giovanni Ferrer (Ohio State University) Title Higher Hilbert spaces and their operator algebras 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. Reference: arXiv:2410.05120 Slides and video https://bimsa.net/doc/notes/56090.pdf https://bimsa.net/bimsavideo.html?id=... Speaker Introduction He is a 6th-year graduate fellow at the Ohio State University, working under the supervision of David Penneys. His research interests include higher category theory, functional analysis, and the interplay between these emerging from quantum symmetry, topological quantum field theory, and condensed matter physics. Speaker Homepage https://www.asc.ohio-state.edu/ferrer... Webpage of the Quantum Symmetry Seminar https://bimsa.net/activity/QuaSymSeminar Webpage of the talk https://bimsa.net/talk.html?id=56090 Playlists of the Quantum Symmetry Seminar:    • BIMSA-Tsinghua Quantum Symmetry Seminar      • (NEW) BIMSA-Tsinghua Quantum Symmetry Seminar      • BIMSA-Tsinghua Quantum Symmetry Seminar