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Конференция "Молодежный забег МЦМУ МИАН"
14 марта 2023 г. 15:50, г. Москва, Математический институт им. В.А. Стеклова РАН, конференц-зал, 9 этаж


Finite groups acting on compact complex parallelizable manifolds

A. S. Golota



Аннотация: A complex manifold $X$ is called parallelizable if its holomorphic tangent bundle is trivial. A classical theorem of H.-C. Wang says that a compact complex parallelizable manifold is isomorphic to a quotient of a connected complex Lie group by a discrete cocompact subgroup. In my talk I will discuss automorphism groups of compact complex parallelizable manifolds from the viewpoint of their finite subgroups. In particular, I will show that these finite subgroups are “almost abelian” (Jordan property for $\mathrm{Aut}(X)$) and examine some related questions from group theory.

Язык доклада: английский


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