Seminar in Mathematical Modeling and Analysis - Long Li

The seminars in Mathematical Modeling and Analysis are aimed at researchers, employees, and students.

This week's seminar is given by Long Li, Shanghai Tech University.

Title: Zero mass conjecture and Sasakian geometry

Abstract: In this talk, we will study the residual Monge-Ampère mass of a plurisubharmonic function with an isolated singularity, provided with circular symmetry. With the aid of Sasakian geometry, we obtain an estimate on the residual mass of this function with respect to its Lelong number and maximal directional Lelong number. This result partially answers the zero mass conjecture raised by Guedj and Rashkovskii.