Time and place: вторник, 9 юни 2026 г., 13:00, зала 403, ИМИ-БАН. Lecturer: Azur Đonlagić (Université Paris-Saclay Title: Brauer-Manin Obstructions for Homogeneous Spaces Abstract: In this talk, we introduce Brauer-Manin obstructions to the Hasse principle and to weak/strong approximation of adelic points on varieties over a global field. We also define variants of these obstructions well-suited for the study of rational points on homogeneous spaces of affine algebraic groups. We then state the main questions considered in this theory and give an account of some developments, including the speaker's recent work. Finally, we present briefly the main tools and ideas used in the theory, such as arithmetic duality theorems, highlighting the difficulties which appear in positive characteristic. More information can be found on the seminar's [...]

Time and place: Tuesday, May 12-th, 13:00, room 403 IMI-BAS. Lecturer: Ina Petkova (Darmouth College) Title: Khovanov homology and Lagrangian cobordisms Abstract: 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. More information can be found on the seminar's web-page: https://icms.bg/khovanov-homology-and-lagrangian-cobordisms-icms-seminar-talk-by-ina-petkova/ https://icms.bg/category/icms-seminar/

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. [...]

Time and place: Tuesday, January 27th, 2026, 1:00 pm, room 403 IMI-BAS. Lecturer: Jean-Pierre Gazeau (Université Paris Cité, CNRS, and University of Białystok) Title: 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 Hamiltonian and [...]

Time and place: Tuesday, January 20th, 2026, 1:00 pm, room 403 IMI-BAS. Lecturer: Bogdan Đorđević (Serbian Academy of Arts and Sciences) Title: 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 evaluating sums [...]

Tuesday, November 25-th, 13:00, room 403, IMI-BAS. Deepanshu Prasad (ICMS, IMI-BAS) An Extension of Sato-Kimura Theorem for Semi-invariant rings Abstract:  We give an analog of a result of Sato-Kimura in the context of a semi-invariant  ring for a finite dimensional algebra over an algebraically closed field K of characteristics 0. Then, we examine the case of finite dimensional hereditary algebras over K. This is joint work with Charles Paquette and David Wehlau. https://icms.bg/an-extension-of-sato-kimura-theorem-for-semi-invariant-rings-icms-seminar-talk-by-deepanshu-prasad/