Jacob Campbell, Department of Pure Mathematics, University of Waterloo
We will study a class of compact quantum groups whose structure and representation theory depend on the combinatorics of set partitions, and we will also study some "noncommutative spaces" on which these quantum groups act. The emphasis of the presentations will be placed on the illustrative examples provided by the quantum permutation group and by the free orthogonal quantum group.
The main references for the learning seminar will be the papers "Partition C*-algebras", by M. Weber (arXiv:1710.06199), and "Partition quantum spaces", by S. Jung and M. Weber (arXiv:1801.06376).
Depending on audience interest, the seminar may proceed to explore some related aspects of the above mentioned quantum groups, e.g. their connections with quantum information, or with free probability.
M3 4206