Group varieties and group structures

• 主讲人：Vladimir Popov (Steklov Mathematical Institute of RAS)
• 举办方： Beijing-Moscow Mathematics Colloquium
• 时间： 2022-05-27 17:00 - 2022-05-27 18:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/297EE2DDEAF407BA14690A9EC8850B8E
Valid Until: 2026-06-30 23:59

 

Abstract: Since group operations of algebraic groups agree with the structure of their underlying varieties, there must be a dependence between them. A striking illustration of it is the classical theorem about commutativity of every connected algebraic group whose group variety is complete. In an explicit or implicit form, this problem was considered in the classical papers of A. Weil, C. Chevalley, A. Borel, A. Grothendieck, M. Rosenlicht, M. Lazard. This talk is aimed to discuss to what extent the group variety of a connected algebraic group or the group manifold of a connected real Lie group determines its group structure.

 

Bio: Prof. Vladimir Popov is a Chief Scientific Researcher at Steklov Mathematical Institute of RAS. He is a Corresponding Member of the Russian Academy of Sciences. His research interests include algebraic transformation groups, invariant theory, algebraic groups, Lie groups, Lie algebras and their representations, algebraic geometry, automorphism groups of algebraic varieties, and discrete reflection groups.