The International Center for Mathematical Sciences – Sofia (ICMS-Sofia)


ICMS Seminar

January 31, 2023, 15:00 EET, Sofia (GMT+2)

ICMS-Sofia, Room 403

Nikolaj Glazunov

IMI-BAS and Glushkov Institute of Cybernetics, Kiiv

On optimal packing of Minkowski balls and applications

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.