

Seminar "Complex analysis in several variables" (Vitushkin Seminar)
March 28, 2018 16:45, Moscow, MSU, auditorium 1304






On rigidity of universal model surfaces
J. Gregorovič^{} 
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Abstract:
There is a class of models of non–degenerate CR submanifolds satisfying certain universality conditions introduced by Beloshapka. The following rigidity of CR automorphisms was conjectured for this class of universal model surfaces: All CR automorphisms in the stabilizer of a point are linearizable. I will prove this conjecture in two steps. Firstly, I identify these universal model surfaces with standard real submanifolds related to universal/free Levi–Tanaka algebras. Then I prove the equivalent claim to the conjecture stating that these Levi–Tanaka algebras have trivial Tanaka prolongation.
Language: English

