The next meeting of the seminar of the International Center for Mathematical Sciences will be held on Tuesday, June 6, 2023, at 3:00 pm, in Room 403 of IMI - BAS. Speaker: Hussein Mourtada (Institut de Mathématiques de Jussieu-Paris Rive Gauche). Title: Arc spaces and partition identities Abstract
NUMERICAL SOLUTION OF MULTIDIMENSIONAL SPECTRAL FRACTIONAL DIFFUSION PROBLEMS: FROM CAFFARELLI TO BURA Authors: Bálint Farkas, Béla Nagy and Szilárd Révész, Alfréd Rényi Institute of Mathematics Date: June 6, 2023 Time: 5:30 pm Place: Room 503 of IMI - BAS Abstract: We introduce a general framework to investigate minimax problems for sum of translates functions F(x,t)=\sum_k K(t-x_j) or F(x,t)=J(t)+\sum_k K(t-x_j), where K is a general concave "kernel function" and J is an "outer field" function, t runs [0,1], and x=(x_1,...,x_n) is a set of nodes which are used to translate the kernel. Our setup is very close to logarithmic potential theory, but fixing n and focusing on a more detailed analysis, we obtain new results even for very classical problems. Extending a method of P. Fenton, we reach considerable [...]
NUMERICAL SOLUTION OF MULTIDIMENSIONAL SPECTRAL FRACTIONAL DIFFUSION PROBLEMS: FROM CAFFARELLI TO BURA Lecturer: Prof. Sv. Margenov (IICT - BAS) Time: 3:00 pm Date: May 23, 2023 Place: Room 503 of IMI - BAS Abstract: Fractional diffusion operators appear naturally in many areas in mathematics, physics, ect. The most important property of the related b.v. problems is that they are nonlocal. Let us consider the fractional power of a self-adjoint elliptic operator introduced through its spectral decomposition. It is also self-adjoint but nonlocal. Advanced numerical methods in this area have been heavily influenced by the pioneering work in differential operator theory by Caffarelli and Silvestre, "An Extension Problem Associated with the Fractional Laplacian", 2007. After discretization, nonlocal problems lead to linear systems with dense matrices. In the [...]
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.
