Abstract. I will talk about standard models of CR-submanifolds, which are real submanifolds in the complex space $\mathbb C^N$ that have particularly nice properties. The standard models are homogeneous w.r.t to the action of CR-automorphisms and have a large space of infinitesimal CR-automorphism that can be computed algebraically. The main target of the talk is to present an explicit construction of standard models with infinitesimal CR-automorphisms that are polynomial vector fields of weighted degree at least $3$.
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