The workshop will bring together leading experts from the fields of Sphere packings, sphere coverings and spherical codes to present new results and developments, open problems and new directions.
The next meeting of the seminar of the International Center for Mathematical Sciences will be held on Tuesday, March 14, 2023, at 2:00 pm, in Room 403 of IMI - BAS. Speaker: Dr. Jiachang Xu, IMI - BAS. Title: Non-Archimedean Uniformization and its application Abstract
A joint seminar of the International Center for Mathematical Sciences and the Department of Mathematical Foundations of Informatics will be held on Tuesday, March 7, 2023, at 2:00 pm, in Room 403 of IMI - BAS. Speaker: Dr. Alexandr Polyanskii, IMI - BAS. Title: Plank Problems: Discrete Geometry and Convexity Abstract: The set of points lying between two parallel lines in the plane is called a plank. Given a convex region C in the plane, what is the smallest combined width of a finite collection of planks that cover C? What happens in higher dimensions? In the 50s, Thoger Bang answered this innocent question of Alfred Tarski and opened a box with many deceptively simple-looking problems. In my talk, I will overview progress in the [...]
The next meeting of the seminar of the International Center for Mathematical Sciences will be held on Tuesday, February 28, 2023, at 2:00 pm, in Room 403 of IMI - BAS. Speaker: Dr. Dimitar Kodjabachev, IMI - BAS. Title: Gorenstein rings in stable homotopy theory Abstract. I will discuss a generalization, due to Dwyer, Greenlees and Iyengar, of the notion of a Gorenstein ring from commutative algebra to the algebra of ring spectra. I will illustrate the concept with classical examples from stable homotopy theory as well as more exotic ones coming from derived algebraic geometry, namely the ring spectra of topological modular forms with level structure. Time permitting, I will discuss how things generalize equivariantly in the presence of a group action.
A joint seminar of the International Center for Mathematical Sciences and the Department of Analysis, Geometry and Topology will be held on Tuesday, February 21, 2023, at 2:00 pm, in Room 403 of IMI - BAS. Speaker: Dr. Valdemar Tsanov, IMI - BAS. Title: Variations of GIT-quotients of flag varieties Abstract
A joint seminar of the International Center for Mathematical Sciences and the Department of Analysis, Geometry and Topology will be held on Tuesday, February 14, 2023, at 3:00 pm, in Room 403 of IMI - BAS. Speaker: Assoc. Prof. Todor Popov, INRNE, Bulgarian Academy of Sciences & AUBG. Title: Jordan algebra conformal toolbox Abstract
International Workshop (Mini-Conference) Recent Developments in Stochastic Processes RDSP 2023 March 27 – 29, 2023 Sofia, Bulgaria organized by Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences (IMI-BAS) Faculty of Mathematics and Informatics, Sofia University “St. Kliment Ohridski” (FMI-SU) with the assistance of Bulgarian Statistical Society (BSS) The workshop will bring renowned specialists from different subfields of contemporary probability theory. Along with the invited lectures, anyone interested may apply for a contributed talk. Conference website: https://icms.bg/recent-developments-in-stochastic-processes/ For more information: rdsp2023@icms.bg.
A New Walk on Equations Monte Carlo Method for Linear Algebraic Problems Lecturer: Prof. Ivan Dimov Time: 4:00 pm Date: February 14, 2023 Place: Room 503 of IMI - BAS Abstract: A new Walk on Equations (WE) Monte Carlo algorithm for Linear Algebra (LA) problem, namely, functionals of the solution, eigenvalue problems, etc., is proposed and studied. This algorithm relies on a non-discounted sum of an absorbed random walk. It can be applied for either real or complex matrices. Several techniques like simultaneous scoring or the sequential Monte Carlo method are applied to improve the basic algorithm. Numerical tests are performed on examples with matrices of different size and on systems coming from various important applications. Comparisons with standard deterministic, including unimprovable Conjugate Gradient [...]
A joint seminar of the International Center for Mathematical Sciences and the Department of Mathematical Foundations of Informatics will be held on Tuesday, January 31, 2023, at 3:00 pm, in Room 403 of IMI - BAS. Speaker: Prof. Nikolaj Glazunov, IMI - BAS, Institute of Cybernetics, Kiev. Title: On optimal packing of Minkowski balls and applications Abstract: We investigate lattice packings of Minkowski balls and domains. By results of the proof of Minkowski conjecture about the critical determinant we divide the balls and domains on 3 classes: Minkowski, Davis and Chebyshev-Cohn. The optimal lattice packings of the balls and domains are obtained. The minimum areas of hexagons inscribed in the balls and domains and circumscribed around them are given. These results lead to algebro-geometric [...]
A joint seminar of the International Center for Mathematical Sciences and the Department of Mathematical Foundations of Informatics will be held on Tuesday, January 24, 2023, at 3:00 pm. Speaker: Maryam Bajalan Title: Linear and Cyclic Codes over Rings Abstract: The study of codes over the rings (ring-linear codes) attracted great interest after the work of Calderbank, Hammons, Kumar, Sloane, and Sole in the early 1990s. In this seminar, the basic theory of linear codes over finite commutative rings will be presented including the importance of codes over rings, various kinds of rings for ring-linear coding theory, the weight functions on finite rings, MacWilliams equivalence theorem and the connection between these codes and codes over fields via the Gray maps. Moreover, the cyclic codes over finite [...]
