Two lectures by Milen Yakimov, chair of the group on Cluster Algebras and Quantum Groups at the ICMS, IMI-BAS. Tuesday, March 10, at 13:00 in room 403, IMI-BAS. Cluster structures on quantum groups and the full Berenstein-Zelevinsky conjecture Tuesday, March 17, at 13:00 in room 403, IMI-BAS. Reflective centres of module categories and quantum K-matrices Abstracts: March 10: Cluster Algebras were invented by Fomin and Zelevinsky in the early 2000s and quickly turned into an indispensable tool in many areas of mathematics. In this talk, we will provide a gentle introduction to the subject. From the early days of the theory of cluster algebras, one of the desired constructions was to turn the quantized coordinate rings of complex simple Lie groups into quantum cluster algebras. [...]

Two lectures by Milen Yakimov, chair of the group on Cluster Algebras and Quantum Groups at the ICMS, IMI-BAS. Tuesday, March 10, at 13:00 in room 403, IMI-BAS. Cluster structures on quantum groups and the full Berenstein-Zelevinsky conjecture Tuesday, March 17, at 13:00 in room 403, IMI-BAS. Reflective centres of module categories and quantum K-matrices Abstracts: March 10: Cluster Algebras were invented by Fomin and Zelevinsky in the early 2000s and quickly turned into an indispensable tool in many areas of mathematics. In this talk, we will provide a gentle introduction to the subject. From the early days of the theory of cluster algebras, one of the desired constructions was to turn the quantized coordinate rings of complex simple Lie groups into quantum cluster algebras. [...]

Дата и място: Tuesday, May 12-th, 13:00, room 403 IMI-BAS. Лектор: Ina Petkova (Darmouth College) Заглавие: Khovanov homology and Lagrangian cobordisms Резюме: We provide a partial answer to a question of Ekholm, Honda, and Kalman about the relationship between Khovanov homology and decomposable Lagrangian cobordisms. We also utilize previously defined filtered invariants to give a family of obstructions to decomposable Lagrangian cobordisms from Khovanov homology. Joint with Gage Martin and Zachary Winkeler. За допълнителна информация: https://icms.bg/khovanov-homology-and-lagrangian-cobordisms-icms-seminar-talk-by-ina-petkova/ https://icms.bg/category/icms-seminar/

Date and time: Tuesday, June 2-nd, 2026, 13:00, room 403 IMI-BAS Lecturer: Bogdan Djordjevic, (Serbian Academy of Arts and Sciences, visitor at ICMS, IMI-BAS) Title: Application of the Laplace transform for evaluating sums of hyperharmonic-like series in Banach algebras and modules Abstract: In this talk it will be shown how the Laplace transform (in respective Banach spaces) can be utilized for evaluating sums of Banach-space-valued series. We demonstrate the technique on various abstract generalizations of the numerical hyperharmonic series, including noncommutative setting and non-invertible setting. As an application, we obtain new necessary consistency condition for the Sylvester equation ax-xb=c[\latex].