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Settimana 23/06/2025 - 27/06/2025
Seminari
Nel link sottostante trovate la Newsletter n.3 del progetto di Dipartimento MatMod@TOV, con l'invito di leggerla e a darne massima diffusione:
Click below for PDF file Download:
NEWSLETTER n.3
Università degli Studi Roma Tor Vergata
Dipartimento di Matematica
Operator Algebra Seminar
Date: 25th June 2025
Schedule: 16:00 - Rome Time -
Where: Conference Room 1201" R. Dal Passo "
Title:" Relative Positions in Half-Sided Modular Inclusions "
Speaker: Ian Koot - FAU Erlangen-Nürnberg
Abstract:
Tomita-Takesaki modular theory has become a powerful tool in
the analysis of quantum field theories. Although generally the modular
objects are difficult to calculate explicitly, in the setting of Half-sided
Modular Inclusions we have more control over them. The representation
theory of a single Half-sided Modular Inclusion is closely related to the
canonical commutation relations and is therefore well understood, but it is
not so clear what is possible when multiple different half-sided modular
inclusions arise within the same standard subspace/von Neumann algebra.
After introducing Half-sided Modular Inclusions and their relation to
so-called Standard Pairs, I will discuss a recent result which relates
inclusions of standard subspaces, both included as half-sided modular
inclusions in a surrounding standard subspace, to inclusions of associated
complex subspaces. This allows one to relate back to the representation
theory to construct concrete examples of non-trivial phenomena, which we
also discuss.
Note: This talk is part of the activity of the MUR Excellence Department
Project MatMod@TOV (CUP E83C23000330006)
Organizing Committee:
Vincenzo Morinelli (mail to contact)
Roberto Longo (mail to contact)
Daniele Guido (mail to contact)
Giuseppe Ruzzi (mail to contact)
Sebastiano Carpi (mail to contact)
Further Info: Click here for Operator Algebras Seminar Page
Streaming Link (MS Teams): This seminar will be held in person
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