Quantum Groups and Cluster Algebras
International Conference
Start date: 15.12.2025
End date: 19.12.2025
Event location: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences
The International Center for Mathematical Sciences – Sofia (ICMS-Sofia) hosts an international conference on Quantum Groups and Cluster Algebras between 15-19 December 2025 at the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences.
The aim of this conference is to bring together researchers to share recent advances, promote further developments in the theory of Quantum Groups and Cluster Algebras, and to investigate their interactions and applications across mathematics and physics. Quantum groups and cluster algebras both provide frameworks for encoding algebraic and geometric structures arising in representation theory, geometry, and mathematical physics. Quantum groups, as deformations of universal enveloping algebras, capture generalized symmetries with rich categorical and representation-theoretic properties. On the other hand, Cluster algebras, introduced by Fomin and Zelevinsky, appear as important algebraic varieties and reveal properties of them through combinatorial rules. Cluster algebras are essential in the study of canonical bases in diverse settings.
Organizers:
- Milen Yakimov (ICMS – Sofia & Northeastern University)
- Emine Yıldırım (ICMS – Sofia)
Confirmed speakers:
- Alessandro Contu – Kyoto University
- Alexander Shapiro – University of Edinburg
- Ben Davison – University of Edinburg
- Charles Paquette – Royal Military College of Canada
- Deepanshu Prasad – ICMS – Sofia
- Gordana Todorov – Northeastern University
- Hadi Salmasian – University of Ottawa
- Iain Gordon – University of Edinburg
- Ivan Dimitrov – Queen’s University
- İlke Çanakçı – Vrije Universiteit Amsterdam
- Karin Baur – Ruhr-Universität Bochum
- Kent Vashaw – University of California, Los Angeles
- Nicola Bellumat – ICMS – Sofia
- Nicolai Reshetikhin * – Beijing Institure for Mathematical Sciences and Applications (BIMSA)
- Pavel Etingof * – MIT
- Robert Laugwitz – University of Nottingham
- Siddhartha Sahi – Rutgers University
- Stefan Kolb – Newcastle University
- Tatyana Gateva-Ivanova – American University in Bulgaria
- Valentin Ovsienko – CNRS – Reims
- Valerio Toledano Laredo – Northeastern University
- Wonwoo Kang – ICMS – Sofia
* – tbc
Venue
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Aided by
