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 [...]

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 [...]

Кога и къде: 12.01.2026 г., понеделник, от 14:00 ч. в зала 578 на ИМИ - БАН Докладчик:  Валдемар Цанов (ИМИ - БАН) Заглавие на доклада: Geometry of Milnor fibrations of equivariant plane curves Резюме: The local knot of an irreducible C*-equivariant complex plane curve singularity is a torus knot, and the Milnor fiber is a Seifert surface for this knot. I will describe an explicit universal cover of the Milnor fiber by the hyperbolic plane, using automorphic forms for triangle groups. The characteristic morphism of the Milnor fibration can also be recovered, and used to construct geometric structures by universal covers on the knot complement in the 3-sphere, as well as on the complement of the singular curve in the complex plane.