Laboratoire de Mathématiques de Besançon - UMR 6623 CNRS
UFC
CNRS


Accueil > Équipes > Analyse Fonctionnelle > Projets de l’équipe

Noncommutative analysis on groups and quantum groups

par Dupré Emilie - publié le , mis à jour le


Period : January 2020 - December 2023.

Description : This project deals with noncommutative (abbreviated to NC) analysis of topics related to multipliers. NC analysis is a new research direction emerging from operator spaces, quantum probability and NC harmonic analysis.

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 NC Lp-spaces and intimately linked with NC 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 NC analysis have given impressive discoveries. Our project will allow to open a vast avenue of perspectives and to reach a new level of development in these competitive fields by joining competences in combinatorics, geometric group theory and operator spaces.

Participants

The project consortium consists of two teams, one based in Besancon, the other composed of researchers from Caen, Paris and Lyon.

Besançon :
Quanhua Xu (the coordinator)
Jean-Christophe Bourin
Uwe Franz
Yulia Kuznetsova
Christian Le Merdy
Stefan Neuwirth
Alexandre Nou
Loris Arnold
Purbayan Chakraborty
Kai Zeng

Caen, Paris, Lyon :
Eric Ricard (team leader, Caen)
Mikael De La Salle (Lyon)
Pierre Fima (Paris)
Amaury Freslon (Paris)
Emmanuel Germain (Caen)
Jean Roydor (Paris)
Roland Vergnioux (Caen)
Léonard Cadilhac (Caen)
Emilie Mai Elkiaer (Lyon)
Hua Wang (Paris)
Simeng Wang (Paris)
Xumin Wang (Caen and Paris)