Conference 2025

Quantum Groups and Cluster Algebras

International Conference

Start date: 15 December 2025

End date: 19 December 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. Also, Cluster algebras are essential in the study of canonical bases in diverse settings. 

Organisers: Milen Yakimov (ICMS - Sofia & Northeastern University)

                     Emine Yıldırım (ICMS - Sofia)

Confirmed Speakers:

Karin Baur - Ruhr-Universität Bochum

Nicola Bellumat - ICMS - Sofia

Alessandro Contu - Kyoto University

İlke Çanakçı - Vrije Universiteit Amsterdam

Ivan Dimitrov - Queen's University

Pavel Etingof - MIT (tbc)

Ben Davison - University of Edinburgh

Tatyana Gateva-Ivanova - American University in Bulgaria

Iain Gordon - University of Edinburgh

Wonwoo Kang - ICMS - Sofia

Stefan Kolb - Newcastle University

Robert Laugwitz - University of Nottingham

Valentin Ovsienko - CNRS - Reims

Charles Paquette - Royal Military College of Canada

Deepanshu Prasad - ICMS - Sofia

Nicolai Reshetikhin - Beijing Institute for Mathematical Sciences and Applications (BIMSA)

Siddhartha Sahi - Rutgers University

Hadi Salmasian - University of Ottowa

Gordana Todorov - Northeastern University

Valerio Toledano Laredo - Northeastern University

Kent Vashaw - University of California, Los Angeles

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