报告题目：On the Guedj-Rashkovskii's zero mass conjecture
时 间：2026年06月23日（星期二）14:30
地 点：理工南楼201
主 办：数学与统计学院,、分析数学及应用教育部重点实验室、福建省分析数学及应用重点实验室、福建省应用数学中心（福建师范大学）
参加对象：相关方向教师和研究生
报告摘要：Plurisubharmonic functions play important roles in the research field of several complex variables, complex geometry and algebraic geometry. There are many invariants to study the singularity of plurisubharmonic functions, for instance, Lelong numbers, multiplier ideal sheaves and so on. However, these invariants are insensitive to the singularities of zero Lelong number. A famous conjecture, named Guedj-Rashkovskii’s zero mass conjecture, states that if the Lelong number of an isolated singularity is zero, then the top Monge-Ampere mass at this singularity is zero. There are many groups made important progress on this conjecture. In this talk, we will present our recent progress towards this conjecture by introducing the concept log truncated threshold ( lt for short) and establishing a sharp estimate on the Monge-Ampere mass for isolated singularity with finite lt number, which provides a new approach to the zero mass conjecture, unifying and strengthening well-known results about this conjecture. This work is joint with Yinji Li, Quunhuan Liu, Professors Fusheng Deng and Xiangyu Zhou.
报告人简介：汪志威，北京师范大学教授、博士生导师，博士毕业于中科院数学与系统研究院，师从著名数学家周向宇院士。汪志威教授在多复变与复几何领域中多个重要问题上取得系列进展，包括CR特征值估计、复流行的线性等距不变量理论、L^2理论的逆理论，拟多次调和函数的延拓等问题有突出的工作，研究结果发表在Amer. J. Math., J.Diff. Geom., Math. Ann., J. Func. Anal., Trans. Amer. Math. Soc.等国际顶尖数学期刊上。三次受邀在ICCM（国际华人数学家大会）上作45分钟报告。汪志威教授2023年入选教育部“长江学者奖励计划”青年学者，主持首批“十四五”国家重点研发计划青年科学家项目，主持国家自然科学基金青年项目、面上项目以及北京市面上项目。