Time：14:00-15:00, Tuesday, March 19 2024
Venue：E4-233 & ZOOM
ZOOM ID: 921 6725 8223
密码：064984
Speaker：Mingchen Xia, Institut de Mathématiques de Jussieu-Paris Rive Gauche
Title：Singularities in global pluripotential theory
Abstract：In the study of the geometry of complex projective manifolds or compact Kähler manifolds, it is important to understand a class of functions on these manifolds, called quasi-plurisubharmonic functions, corresponding to positively curved metrics on line bundles. These functions usually present complicated singularities.
In this talk, I will give a general introduction to the systematic classification of the singularities of quasi-plurisubharmonic functions carried out by Darvas, Di Nezza, Lu and me in the last few years. In particular, I will explain the important notion of I-good singularities and trace operators and their various applications.
