The Abel Symposium 2027 Operator Algebras and Quantum Information Theory aims to gather leading mathematicians and theoretical physicists to explore one of the most vibrant interfaces in modern mathematics. The past decade has witnessed a deep and fruitful interaction between operator algebras, quantum information theory, and mathematical physics—fields that, despite their distinct origins, now converge around shared questions on structure, symmetry, and computation in the quantum world.
This interface has proven exceptionally productive. Operator algebra methods have become indispensable in analyzing quantum correlations, nonlocal games, and the structure of quantum channels—shedding new light on long-standing problems in functional analysis and mathematical physics. Conversely, concepts from quantum information have inspired powerful new results in operator theory, such as sharper noncommutative Grothendieck inequalities, novel embeddings between noncommutative Lp-spaces, and refined perspectives on the Connes Embedding Problem.
The present moment is particularly timely for such a symposium. Theoretical progress has reached a level of maturity that calls for synthesis, while the rapid rise of quantum technologies gives the mathematical structures behind them new relevance. The 2027 Abel Symposium will thus serve as both a celebration of a mathematical tradition and a forward-looking forum to chart the future of this evolving field.
Practical information
- Schedule: 5–9 July, 2027
- Location: The Norwegian Academy of Science and Letters, Oslo
Invited speakers
- Michael Brannan (University of Waterloo)
- Benoit Collins (Kyoto University)
- Alain Connes (Collège de France and IHES)
- Jason Crann (Carleton University)
- David Evans (Cardiff University)
- Corey Jones (North Carolina State University)
- Marius Junge (University of Illinois Urbana-Champaign)
- Yasuyuki Kawahigashi (University of Tokyo)
- Matthew Kennedy (University of Waterloo)
- Franz Luef (Norwegian University of Science and Technology)
- Alexander Müller-Hermes (University of Oslo)
- Pieter Naaijkens (Cardiff University)
- Yoshiko Ogata (Kyoto University)
- Vern Paulsen (University of Waterloo)
- David Pérez-García (Complutense University of Madrid)
- Mikael Rørdam (University of Copenhagen)
- Mikael de la Salle (Institut Camille Jordan)
- Adam Skalski (Institute of Mathematics of the Polish Academy of Sciences)
- Tatiana Shulman (Chalmers University of Technology and University of Gothenburg)
- Alexander Stottmeister (Leibniz University Hannover)
- Ivan Todorov (University of Delaware)
Organizing committee
Local committee
- Ulrik Enstad (University of Oslo)
- Sergey Neshveyev (University of Oslo)
- Eduard Ortega (Norwegian University of Science and Technology)
- Makoto Yamashita (University of Oslo)
Scientific committee
- Yoshiko Ogata (Kyoto University)
- Lyudmila Turowska (Chalmers University of Technology and University of Gothenburg)