
ВИДЕОТЕКА 

On holomorphically homogeneous hypersurfaces in A. V. Loboda^{ab} ^{a} Voronezh State University ^{b} Voronezh State Technical University 

Аннотация: In connection with the description problem of (locally) holomorphically homogeneous real hypersurfaces of multidimensional complex spaces the case of the space Three approaches to the problem are considered: 1) representations of abstract Lie algebras in the form of holomorphic vector fields algebras on the homogeneous hypersurfaces under consideration; 2) a coefficient approach using the properties of normal (canonical) equations of homogeneous manifolds; 3) computer calculations associated with the homogeneity property. Within the framework of the first approach, in the space For analytic strictly pseudoconvex hypersurfaces of the space On the base of algorithms of symbolic mathematics, a large number of examples of affine homogeneous hypersurfaces of the space This work was supported by the Russian Foundation for Basic Research (project No 200100497a). Язык доклада: английский Website: https://zoom.us/j/9544088727?pwd=RnRYeUcrZlhoeVY3TnRZdlE0RUxBQT09 ^{*} ID: 954 408 8727, password: residue 