МЦМН

Time: March 25, 2025, 2:00 pm Place: Room 403, IMI - BAS Speaker: Mikhail Shkolnikov, IMI - BAS Title: Affine distance function Further information: https://icms.bg/category/icms-seminar/ Abstract. Affine geometry is sometimes described as "what remains of Euclidean geometry when distances are forgotten". In this talk, I will report on a very recent discovery of an affine-invariant notion, which may be viewed as a distance from a point inside a convex domain to its boundary. This new concept stems from a suggestion of Conan Leung, who proposed to average the canonical tropical series, a fundamental notion of tropical optics, over the manifold of all tropical structures of fixed covolume on the given affine space. Very little of what we (Nikita Kalinin, Ernesto Lupercio and me) currently [...]

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 [...]