Unique jet determination and extension of germs of CR maps into spheres

19.11.2020 09:00 - 10:30

Nordine Mir (Texas A&M University at Qatar)

We provide a new way of simultaneously parametrizing arbitrary local CR maps from real-analytic generic manifolds $M \subset \mathbb{C}^N$ into spheres $\mathbb{S}^{2N'-1} \subset \mathbb{C}^{N'}$ of any dimension. The parametrization is obtained as a composition of universal rational maps with a holomorphic map depending only on $M$. As applications, we obtain rigidity results of different flavours such as unique jet determination and global extension of local CR maps. This is joint work with D. Zaitsev.

Bernhard Lamel