Quantum Groups and Cluster Algebras II

International Conference

Start date: 10.08.2026
End date: 14.08.2026
Event location: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences

The International Center for Mathematical Sciences – Sofia (ICMS-Sofia) hosts the second international conference on Quantum Groups and Cluster Algebras between 10-14 August 2026 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:

  • Vyjayanthi Chari (University of California, Riverside)
  • Ivan Dimitrov (Queen’s University)
  • Vesselin Drensky (Institute of Mathematics and Informatics, Bulgarian Academy of Sciences)
  • Anna Felikson (Durham University)
  • Hongdi Huang (Shanghai University)
  • Wonwoo Kang (ICMS – Sofia)
  • Rinat Kedem (University of Illinois Urbana-Champaign)
  • Bernhard Keller (Université Paris Cité)
  • Alastair King (University of Bath)
  • Stefan Kolb (Newcastle University)
  • Shrawan Kumar (University of North Carolina at Chapel Hill)
  • Kyungyong Lee (University of Alabama)
  • Ivan Losev (Yale University)
  • Daniel Nakano (University of Georgia)
  • Hironori Oya (Institute of Science Tokyo)
  • Fan Qin (Beijing Normal University)
  • Job Daisie Rock (KU Leuven)
  • Siddhartha Sahi (Rutgers University)
  • Hadi Salmasian (University of Ottawa)
  • Hugh Thomas (Université du Québec à Montréal)
  • Pavel Tumarkin (Durham University)
  • Monica Vazirani (University of California, Davis)
  • Chelsea Walton (Rice University)
  • Quanshui Wu (Shanghai Center for Mathematical Sciences)
  • James Zhang (University of Washington)

Aided by