Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	夏铭辰博士, Institut de Mathématiques de Jussieu-Paris Rive Gauche
Inviter:
Title:	Singularities in global pluripotential theory
Language:	Chinese
Time & Venue:	2023.07.21 15:00-16:00 南楼N913
Abstract:	In the study of the geometry of complex projective manifolds or compact K?hler manifolds, it is important to understand a class of functions on these manifolds, called quasi-plurisubharmonic functions. Traditionally, one is interested in regular or mildly singular quasi-plurisubharmonic functions as the solutions to the Monge—Ampère equations are usually regular. In recent years, it is gradually realized that singular quasi-plurisubharmonic functions also play an important role. In this talk, I will give a general introduction to the systematic study of the singularities of quasi-plurisubharmonic functions carried out by Darvas, Di Nezza, Lu and myself in the last few years. In particular, I will explain the important notion of I-good singularities and its various applications.