The 731st meeting of the "Geometry, topology and their applications" seminar will be held on December 14

Mathematical Center in Akademgorodok and the Chair of Geometry and Topology invite you to participate in an online seminar "Geometry, topology and their applications". Head of the seminar — Iskander A. Taimanov.

The seminar will take place on December 14 at 2 pm (UTC+7). Constantin A. Shramov (Steklov Mathematical Institute, Moscow) will present his talk "Finite automorphism groups of algebraic and complex varieties".

In 1878 C. Jordan proved that every finite subgroup G of GLn(C) contains a normal abelian subgroup whose index in G is bounded by a constant that depends only on n, but not on G. Informally speaking, one can interpret this result as boundedness of complexity of finite subgroups of GLn(C), if one assumes that finite abelian groups are easy to understand, and complexity is defined by the structure of a quotient by a normal abelian subgroup. In 2007, J.-P. Serre realized that a similar property holds for finite subgroups of the birational automorphism group of the projective plane, although this group is infinite-dimensional, and its other properties are very different from those of algebraic groups. I will discuss the geometric situations wh ere one meets this kind of boundedness for finite subgroups of automorphism and birational automorphism groups of algebraic and complex varieties.

In order to participate, you should connect to the Zoom conference a few minutes prior to the start of the seminar via the following link: or manually in the Zoom app using the conference ID 987 3779 6263 and the password 277571.

Please pay attention to the following rules for conducting an Internet seminar:
  • Please, use your real first and last name
  • Keep your microphone off during the talk
  • Should you have any questions, ask them in the chat