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Quantum symmetries of finite graphs

Datum
15.01.2019 
Zeit
15:00 Uhr - 16:00 Uhr 
Sprecher
Moritz Weber  
Institut
Uni Saarbrücken 
Sprache
en 
Hauptthema
Mathematik: Allgemein
Ansprechpartner
Prof. Dr. U. Krähmer  
Zusammenfassung

In mathematics, symmetries are usually modeled by groups; in modern theories however, we sometimes need to go beyond groups in order to capture symmetry: We need quantum groups.
In this talk, I will briefly motivate and introduce the concept of compact matrix quantum groups by Woronowicz from the 1980's and I will then survey recent developments in the theory of quantum automorphism groups of graphs.
The latter is a very young but promising field initiated by Bichon and Banica about fifteen years ago. Together with my PhD student Simon Schmidt, we showed that the quantum symmetry group of a graph C*-algebra is exactly the quantum automorphism group of the graph, hence the graph C*-algebra preserves the quantum symmetries of the underlying graph. I will also mention a number of open problems and conjectures. Note that most of the actual computations are of a very algebraic nature.

 

Letzte Aktualisierung: 13.12.2018 10:26.

Vortragsort 

TUD Willers-Bau (WIL A 120) 
Zellescher Weg 12-14
01069 Dresden
Homepage
https://navigator.tu-dresden.de/etplan/wil/00 

Veranstalter 

TUD Mathematik
Willersbau, Zellescher Weg 12-14
01069 Dresden
Telefon
49-351-463 33376 
Homepage
http://tu-dresden.de/mathematik 
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