10-13【Long Li】 Zero mass conjecture and Sasakian geometry

Time:2023-10-08Views:14

Speaker: Long Li(Shanghai Tech)

Time: 10:00-11:00, Oct 13, 2023

Room: USTC Shanghai lnstitute for Advanced Studies, Room 414.


 

 The aim of this talk is to study the residual Monge Amp'ere mass of a plurisubharmonic function with an isolated singularity, provided with the 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.