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 [...]

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

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 [...]