Abstract: Partial differential equations (PDEs) are usually efficient tools in studying conformal geometry. Different types of PDEs arise when one studies different type curvatures. Potential theory is a powerful tool to study certain kinds of PDEs. Especially it is convenient to use potential theory when one studies singular solutions (supersolutions). In this talk, I will mention our series of works, using potential theory to study conformal geometry. In particular, I will talk about our recent work about the relationship between p-Laplace operator and conformal geometry.
Speaker: Shiguang Ma graduates from Peking University in 2011 and is a professor in Mathematics department of Nankai University. The main study interest in recent years is conformal geometry and partial differential equations.
ID: 819 5579 1984