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 structures in the framework of Pontrjagin duality theory.