Construction of counterexamples to the $2$ -jet determination Chern-Moser Theorem in higher codimension

05.11.2020 09:00 - 10:30

Jan Gregorovič (University of Hradec Králové, University of Vienna)

I will talk about joint work with F. Meylan. We first construct a counterexample of a generic quadratic submanifold of codimension $5$ in $\Bbb C^9$ which admits a real analytic infinitesimal CR automorphism with homogeneous polynomial coefficients of degree $4.$ This example also resolves a question in the Tanaka prolongation theory that was open for more than 50 years. Then we give sufficient conditions to generate more counterexamples to the $2$ -jet determination Chern-Moser Theorem in higher codimension. In particular, we construct examples of generic quadratic submanifolds with jet determination of arbitrarily high order.

Slides.

Organiser:

Bernhard Lamel

Location:

Zoom

Construction of counterexamples to the 22-jet determination Chern-Moser Theorem in higher codimension

Construction of counterexamples to the $2$ -jet determination Chern-Moser Theorem in higher codimension