The next Wales MPPM Zoom Seminar will given by Moritz Weber (Saarland) on Tuesday, 23rd November at 4.30 pm UK time and UTC.
The title and abstract are:
Easy quantum groups and quantum permutations
Within Woronowicz’s framework of compact quantum groups, there are natural quantum analogs of the symmetric group, the orthogonal group and the unitary group, amongst others. They have in common that their representation theory may be expressed in terms of diagrams. This has been systematically formalized by Banica and Speicher in 2009 within the class of so called “easy” quantum groups.We give an introduction to “easy” quantum groups, their diagrammatic representation theory and we mention some links with Deligne’s interpolation categories. Moreover, we highlight the role of quantum permutations within the theory of quantum automorphism groups of graphs. This also links with nonlocal games in quantum information theory, as we will point out.
Further details, including the programme of upcoming talks, are available on the Wales MPPM Zoom Seminar web page (https://davidemrysevans.wordpress.com/wales-mppm-zoom-seminar/), and some previous talks appear on the Wales MPPM YouTube channel.