Denis The, UiT The Arctic University of Norway
Title:听Simply-transitive CR real hypersurfaces in C^3
Abstract:Holomorphically (locally) homogeneous听CR听real hypersurfaces M^3 in C^2 were classified by Elie Cartan in 1932. A folklore legend tells that an unpublished manuscript of Cartan also treated the next dimension M^5 in C^3 (in conjunction with his study of bounded homogeneous domains), but no paper or electronic document currently circulates. Starting from around the year 2000, significant progress was made on this 5-dimensional classification problem, and the classification was completed in 2020.听听I will discuss the final aspects of this effort, in particular giving a survey of my joint work with Doubrov & Merker in which we used a novel approach to settle the听simply-transitive, Levi non-degenerate classification.
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Geometry-Topology Seminar
In person in PK-5115, UQAM