The upcoming talk
At the next session of the TCS,
on the 24th of April 2024,
at 2:15 – 4:15 p.m. CET / 3:15 – 5:15 p.m. EET
Daniel Beltiţă (IMAR)
shall talk about
“Lie group representations and standard subspaces of Hilbert spaces”.
Abstract
We will discuss one-parameter operator groups, specifically holomorphic extensions with respect to the parameter, from the real line to suitable horizontal strips in the complex plane, as well as Kubo-Martin-Schwinger (KMS) boundary conditions. We will also present applications to certain constructions of nets of standard subspaces in the framework of Lie group representations, as they appear in Algebraic Quantum Field Theory. They require one-parameter operator groups on spaces of distribution vectors of unitary representations of Lie groups and will be briefly discussed as well. This is joint work with Karl-Hermann Neeb (Friedrich-Alexander-Universität Erlangen-Nürnberg).
(All seminar talks are given on the online zoom platform. The web link for every session is circulated via the TCS mailing list. In order to be enlisted, please contact the Organisers.)
Calendar
| Date | Speaker (affiliation) | Title (with a link to the slides, whenever available) |
| May 1st, 2024 | Ø (holiday) | Ø |
| April 24th, 2024 | Daniel Beltiţă (IMAR) | Lie group representations and standard subspaces of Hilbert spaces |
| April 17th, 2024 | Rafał R. Suszek (KMMF WFUW) | 1001 Tricks with Character(s) – A Case for Simplicial Mechanics stitched by Categorified Correspondences |
| April 10th, 2024 | Stefan Carstea (IFIN-HH) | Discrete integrable dynamical systems: geometry of invariants and symmetries |
| March 27th, 2024 | Katarzyna Grabowska (KMMF WFUW) | Algebroids – a playground for geometric mechanics |
| March 20th, 2024 | Janusz Grabowski (IMPAN) | Homogeneity and formalisms of mechanics |
| March 13th, 2024 | Radu Purice (IMAR) | Some results in the spectral analysis of quantum Hamiltonians with magnetic fields |
| March 6th, 2024 | Vasile Brînzănescu (IMAR) | Algebraic Geometry at IMAR: past and present research |