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 [...]
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 [...]
ICMS-IMSA Working Seminar August 20, 2021 ICMS, Room 403, 4:30-6:30 pm, Broadcasted trough Zoom Title: On determinantal cubic hypersurfaces (after Iliev-Manivel, Beauville,...) Speaker: Prof. R. Mboro IMSA, ICMS, 4:30-5:30 pm Abstract: We give an account of the problem of writing an equation of a cubic (or other degree) hypersurface X as a (kind of) determinant of a matrix with homogeneous entries. Expressing the equation of X as a determinant is equivalent to produce an arithmetically Cohen-Macaulay vector bundle on X. The talk will focus on the cases of cubic hypersurfaces of dimension at most 8. Title: Quantum representations of fundamental groups of curves with infinite image Speaker: Prof. R. Aguilar IMSA, ICMS, 5:30-6:30 pm Abstract: We will report on some results due to Koberda-Santharoubane [...]
