Noncommutative analysis on groups and quantum groups
Noncommutative analysis is a new research direction emerging from operator spaces, quantum probability and noncommutative harmonic analysis. It revolves around notions of multipliers. Fourier and Schur multipliers are at the intersection of these areas and play a key role in recent research motivated by concepts and problems from operator algebras and geometric group theory. They are natural examples of maps on noncommutative Lp-spaces and intimately linked with noncommutative functional inequalities. They are also used to formulate geometric properties (weak amenability, Haagerup property) of groups and quantum groups in terms of von Neumann algebras. Interactions between different approaches at the frontiers of noncommutative analysis have given impressive discoveries.
The purpose of this conference is to bring together researchers in the fields described above in order to stimulate exchanges of expertise and ideas, to encourage the circulation of open problems and to deepen the synergies between these different directions, finally to reach a new level of development by joining competences of researchers in these competitive fields.
The conference will take place in Besançon on December 18 - 21, 2023.