Aim of this special session

Both quantum groups and algebraic quantum field theory arose some decades ago as part of an approach of constructing noncommutative algebraic generalisations of classical objects like groups or field theories. The two constitute important sub-disciplines and sophisticated applications of the wider field of operator algebras. From the very beginning, links between quantum groups and algebraic quantum field theory were apparent: the simple fact that both used the framework of operator algebras and, above all, at the level of representations; more precisely, it was found that the representation categories (unitary modular tensor categories) of quantum groups at roots of unity and those of chiral conformal field theories coincide. Quantum groups should also arise as the symmetries of algebraic quantum field theories on noncommutative spacetimes. The two disciplines have developed mostly independently in recent years. The goal of this session is to stimulate communication between the two areas, and with many others in the wider area of operator theory.

This is a special session of the International Workshop on Operator Theory and its Applications (IWOTA) Lancaster UK 2021

The special session is held on Zoom. Links will be sent to registered participants.

Speakers

Isabelle Baraquin (University of Franche-Comté, Besancon)

Daniela Cadamuro (Leipzig University)

Kenny De Commer (Free University Brussels)

Luca Giorgetti (University of Rome, Tor Vergata)

Yasuyuki Kawahigashi (The University of Tokyo)

Anna Wysoczańska-Kula (University of Wroclaw)

Gandalf Lechner (Cardiff University)

Vincenzo Morinelli (University of Erlangen)

Sergey Neshveyev (University of Oslo)

Atibur Rahaman (NISER Bhubaneswar)

Karl-Henning Rehren (University of Göttingen)

Kasia Rejzner (University of York)

Ingo Runkel (University of Hamburg)

Sutanu Roy (NISER Bhubaneswar)

Yoh Tanimoto (University of Rome, Tor Vergata)

Christian Voigt (Glasgow University)

Makoto Yamashita (University of Oslo)

Sang-Gyun Youn (Seoul National University)

Organisers of this special session

Uwe Franz (Université Franche-Comté, Besançon)

Robin Hillier (Lancaster University)