Quantum symmetries of finite graphs
- date
- 15.01.2019
- time
- 03:00 PM - 04:00 PM
- speaker
- Moritz Weber
- affiliation
- Uni Saarbrücken
- language
- en
- main topic
-
Mathematics: general
- host
- Prof. Dr. U. Krähmer
- abstract
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.
Last update: 13.12.2018 10:26.
venue
Zellescher Weg 12-14
01069 Dresden
organizer
Willersbau, Zellescher Weg 12-14
01069 Dresden
- telefon
- 49-351-463 33376
- homepage
- http://tu-dresden.de/mathematik