Ma

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 

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

organizer 

TUD Mathematik
Willersbau, Zellescher Weg 12-14
01069 Dresden
telefon
49-351-463 33376 
homepage
http://tu-dresden.de/mathematik 
Scan this code with your smartphone and get directly this event in your calendar. Increase the image size by clicking on the QR-Code if you have problems to scan it.