Abstract: There are many examples where the problem of classifying algebraic objects of a certain type is reformulated as that of classifying orbits of some algebraic group action. The talk is aimed to discuss the decidability of the equivalence problem for two objects of the considered type in such cases.
Bio: Professor Vladimir Leonidovich Popov is a principal researcher at the Steklov Mathematical Institute of Russian Academy of Sciences in Moscow and also a professor at Department of Applied Mathematics of MIEM-HSE (part time). He graduated from Mathematics and Mechanics Faculty of Moscow State University Lomonosov (Department of High Algebra) in 1969 and got his PhD degree (Candidate of Physics and Mathematics) in 1972. He obtained the Doctor of Physics and Mathematics in 1984. Professor Vladimir Popov was elected as a Corresponding Member of the Russian Academy of Sciences in October 2016.
His research interests are algebraic groups, Lie groups, Lie algebras and their representations; algebraic geometry; algebraic transformation groups; invariant theory; automorphism groups of algebraic varieties; discrete reflection groups.
