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)

An international conference bringing together leading researchers in Hodge theory and birational geometry, mixing a main conference programme with four confirmed mini-courses by Benjamin Bakker, Leonardo Cavenaghi, Bruno Klingler and Claire Voisin.

A celebration of Julian Revalski’s 70th birthday, bringing together colleagues, friends, and collaborators to pay tribute to his contributions to mathematics and to developing the role of science in society. The event is jointly organised by the International Centre for Mathematical Sciences (ICMS‑Sofia) at the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, and the Institute for the Mathematical Sciences of the Americas (IMSA) at the University of Miami.

International Conference celebrating Stefan Ivanov’s 70th birthday and his remarkable contributions to differential geometry and mathematical physics. A traditional meeting of the institutes of the IMSAC consortium, jointly organized by ICMS-Sofia and IMSA — University of Miami.

August 3–6, 2027, Sofia, Bulgaria