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| XXXIX Workshop on Geometric Methods in Physics | 19.06–25.06.2022 |
| XI School on Geometry and Physics | 27.06–1.07.2022 |
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Karl-Hermann NeebGeometric aspects of the modular theory of operator algebrasModular theory is an important aspect of the theory of operator algebras and in the theory of local observables in Algebraic Quantum Field Theory (AQFT). It creates a one-parameter group of modular automorphisms from a single state and, sometimes, this group represents the flow of time (the dynamics) in a space-time domain. We study this question from a Lie group perspective by asking questions like: Which one-parameter groups of Lie groups can arise in this context as modular groups? This leads us to real standard subspaces of a complex Hilbert space, to antiunitary representations and to nets of standard subspaces on causal symmetric spaces. This is joint work with Gestur Olafsson (Baton Rouge) and Vincenzo Morinelli (Rome) |
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| University of Bialystok |
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