Speaker: Professor Xianghong Gong
Time: 9:30am--10:20am, July 3, Thursday
Place: 成功楼 Room 603
Title: Real submanifolds of maximum complex tangent space at a CR singular point
Abstract: We study a germ of real analytic $n$-dimensional submanifold of $C^n$ that has a complex tangent space of maximal dimension at a CR singularity. Under the condition that its complexification admits the maximum number of deck transformations, we study its transformation to a normal form under the action of local (possibly formal) biholomorphisms at the singularity. We also study the convergence of normalization for anabelian type of CR singularity, the rigidity of quadrics under a small-divisor condition, and existence of attached complex submanifolds to the real submanifold. This is joint work with Laurent Stolovitch.
Brief description of Professor Xianghong Gong:
Professor Gong is an expert in Several Complex Variables and Dynamical system. He has published more than 34 research papers. He received his Bachelor Degree from