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Seminar "Complex analysis in several variables" (Vitushkin Seminar)
November 18, 2020 16:45, Moscow, online
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Jet determination in higher codimension
Francine Meylan Université de Fribourg
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Abstract:
Let $M$ be a real-analytic submanifold of ${\mathbb C}^N$ of codimension $d$. Consider the set of germs of biholomorphisms $F$ at a point $p\in M$ such that $F(M)\subset M$.
By the work of Cartan, Tanaka, Chern and Moser, if $d=1$, every such $F$ is uniquely determined by its first and second derivatives at $p$ provided that the Levi form of $M$ is non-degenerate at $p$. In this talk, we will discuss some recent developments on the generalization of this phenomenon to higher codimension.
Language: English
Website:
https://mi-ras-ru.zoom.us/j/6119310351?pwd=anpleGlnYVFXNEJnemRYZk5kMWNiQT09
* ID: 611 931 0351. Password: 5MAVBP. |
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