Дата и място: Вторник, 20.01.2026 г., 13:00 ч., Зала 403, ИМИ - БАН Докладчик: Bogdan Đorđević (Serbian Academy of Arts and Sciences) Заглавие: Applications of Banach algebras and Banach modules to some contemporary analysis problems Abstract: In recent years applied mathematics has experienced a historical progress, blurring the lines between the previously clear research paths and directions. Accordingly, contemporary mathematical analysis is at the verge of unifying seemingly different research areas and topics. With this in mind, I'd like to talk about my humble contribution to this cause: my lecture will concern how Banach algebras and modules, combined with spectral theory, functional calculus, and generalized inverses, help in various problems that emerge in applied mathematics in general: from solving operator and matrix equations, to [...]

Дата и място: Вторник, 27.01.2026 г., 13:00 ч., Зала 403, ИМИ - БАН Докладчик: Jean-Pierre Gazeau (Université Paris Cité, CNRS, and University of Białystok) Заглавие: Spectral and angular variables for open qudit dynamics Abstract:  In this talk, I introduce a parametrization of finite-dimensional quantum states that is particularly adapted to the study of open qudit dynamics. Any generic density matrix in Cn can be described by separating spectral variables, which encode the eigenvalue content, from angular variables associated with the unitary degrees of freedom. These angular variables naturally live on the coset space SU(n)/T, in the spirit of the Tilma–Sudarshan construction. A key outcome of this parametrization is a partial decoupling of the GKLS evolution: while the angular variables are driven by both the [...]

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].