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Algebra and Logic Seminar

Institute of Mathematics and Informatics, BAS Akad.G.Bonchev St, bl. 8, 1113, Sofia

The next meeting of the Algebra and Logic Seminar will be held on March 128, 2025 (Friday) at 1:00 pm (UTC+2) in Room 578 of IMI-BAS and online via Zoom. A talk on: Graded algebras that are the sum of two homogeneous subalgebras will be delivered by Plamen Koshlukov (State University of Campinas, Brazil). Abstract. Let A be an algebra over a field F, graded by a group G, and let B and C be two homogeneous subalgebras of A such that A=B+C. We study the following problem: If B and C satisfy graded identities, does the same also hold for A? The analogous problem for algebras without any grading was proposed in 1994 by Beidar and Mikhalev; in implicit form it appeared in a paper by O. Kegel, in 1963. Several [...]

ICMS Seminar

Institute of Mathematics and Informatics, BAS Akad.G.Bonchev St, bl. 8, 1113, Sofia

Time: March 27, 2025, 4:00 pm Place: Room 403, IMI - BAS Speaker: Luis Ugarte (University of Zaragoza, Spain) Title: Complex structures on Lie algebras and its application to the Hull-Strominger system Further information: https://icms.bg/category/icms-seminar/ Abstract. In this talk we will explain the role that the Lie algebras play in the construction of 6-dimensional compact quotient spaces M=G/Γ, where Γ is a lattice, endowed with an invariant complex structure with holomorphically trivial canonical bundle.We will use the approach of stable forms in six dimensions to provide a classification of unimodular Lie algebras admitting a complex structure with non-zero closed (3,0)-form. Some of these spaces can be equipped with balanced Hermitian metrics and they provide invariant solutions of the Hull-Strominger system, even with non-flat connection [...]

Applied Mathematics Seminar

Institute of Mathematics and Informatics, BAS Akad.G.Bonchev St, bl. 8, 1113, Sofia

About m-ary Gray codes Speaker: Maria Pashinska, IMI - BAS Date: March 27, 2025 Time: 2:00 pm Place: Room 503, IMI - BAS Abstract: We present several systemized implementations of the Gray code over an alphabet with m ≥ 2 elements. Gray codes are widely used in digital communications and effective generation of combinatorial objects. We consider two variants - reflected and modular m-ary Gray codes. We present algorithms for their generation and other important functions such as ranking and unranking and functions for generation of a maximal set of non-proportional vectors of length n over the given alphabet. Some applications of the m-ary Gray codes are also considered. This talk is based on joined work with Stefka Bouyuklieva , Iliya Bouyukliev and Valentin [...]

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