School of Mathematical Sciences

Quantum Mathematics Seminar: Luca Giorgetti (Vanderbilt University)

MS Teams talk
Wednesday 5th May 2021 (14:00-15:00)

Robert Laugwitz (organizer)

Alex Schenkel (host)



Quantum Mathematics Seminar, external speaker:

Speaker: Luca Giorgetti (Vanderbilt University)

Title: Rigid 2-C*-categories: existence and uniqueness of representations on operator algebras

Abstract: The unitarity requirement (C*) is maybe the most distinctive assumption on top of a monoidal or 2-categorical structure, usually motivated by quantum physics applications (quantum field theory / quantum information). The usual examples of such structures arise by considering categories of *-homomorphisms (or bimodules) of von Neumann algebras. In the talk, I will report on some recent developments in the construction and classification of representations of abstract (rigid semisimple) C*-categorical structures on von Neumann algebras.

Based on joint works with M. Bischoff, I. Charlesworth, S. Evington, W. Yuan, D. Penneys
Supported by EU H2020-MSCA-IF-2017 grant beyond RCFT 795151
Preprints: arXiv:2010.01067, arXiv:2010.01072

One hour talk, followed by informal discussion.

All are welcome. Please contact the seminar organizer to be added to the talk.


School of Mathematical Sciences

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