学术讲座【Real submanifolds of maximum complex tangent space at a CR singular point】

时间：2014年7月3日（周四）上午9:30-10:20
地点：仓山校区 成功楼603教室
主讲：University of Wisconsin-Madison, USA    Professor Xianghong Gong
主办：数学与计算机科学学院
专家简介：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 Nanjing University in1986, PhD degree from University of Chicago in1994. He was member of IAS (1994-95), Postdoc at MSRI (1995-96), VAP at University of Michigan (1996--99), Assistant professor at State University of Oklahoma (1999-2001), University of Wisconsin (2001--2003), Associate professor (2003--2007) and Full professor (2007--present)  at University of Wisconsin-Madison. He has been vice chair for undergraduate study at the Department of Mathematics, University of Wisconsin-Madison. His researches have been partially support by NSF many times.
报告摘要：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.