abstract:
Abstract:Let M be a manifold locally defined by \( w=
z
^2+O(
z
^3) \) with \( z \in \mathbb{C}^n \) and \( z \in \mathbb{C} \). This is a CR singular manifold with real dimension strictly
larger than the complex dimension of the ambient space, and whose quadric model
has the largest possible symmetry. In this talk, we will study the pseudo-normal
form and a dynamical property related to such a CR singular manifold. This is a
joint work with Xiaojun Huang.