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Quantum Symmetry, C*-algebras and Combinatorics

Gemeinsames Oberseminar Algebra und Analysis, 06.07.2017


Symmetry is a very fundamental concept for geometrical objects and it is often captured by a group. However, in modern mathematics, we sometimes need to go beyond groups - we need to consider quantum groups. In this survey talk, I will review a few very different aspects of mathematics and explain their interplay from the point of view of quantum symmetry.

In particular, I will cover combinatorics (set partitions and some tensor category like structures on them), C*-algebras (universal ones associated to relations coming from partitions, with many open questions regarding ideal structure, K-theory etc), quantum groups (in the sense of Woronowicz, in particular Banica-Speicher/easy quantum groups and using a Tannaka-Krein duality), and some links to free probability theory (in the sense of Voiculescu, a kind of noncommutative probability theory linked with random matrices). Since I do not expect everybody to be familiar with every subject, I will try to give brief and basic introductions to each subject.

Weblink http://www.iazd.uni-hannover.de/oberseminar.html

Jun.Prof. Dr. Moritz Weber (Universität des Saarlandes)


Institut für Algebra, Zahlentheorie und Diskrete Mathematik und Institut für Analysis

Termin 06.07.2017
14:15 Uhr - 15:45 Uhr
Institut für Algebra, Zahlentheorie und Diskrete Mathematik (IAZD)
Welfengarten 1
30167 Hannover
Tel.: 762-3337
Fax: 762-5490
Ort Hauptgebäude, Geb.: 1101
Raum: A410
Welfengarten 1
30167 Hannover