中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
华罗庚青年数学论坛
综合报告
报告人： 夏铭辰 博士 （Institut de Mathématiques de Jussieu-Paris Rive Gauche）
题 目：Singularities in global pluripotential theory
时 间：2023.07.21（星期五），15:00-16:00
地 点：数学院南楼N913
摘 要：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. 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.
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