报告题目:Singular Solutions to the Complex Monge-Amp\`ere Equation

报告人：王嘉项博士（南开大学）

报告时间：2024年8月19日（星期一）10:00-11:00

报告地点：腾讯会议：738-180-537

摘要：We present an explicit pluripotential (as well as viscosity) solution to the complex Monge-Amp`ere equation with constant right-hand side on $mathbb Dtimesmathbb C^{n-1},(ngeq 2)$, which merely lies in $W^{1,2}_{loc}cap W^{2,1}_{loc}$ and is not even Dini continuous. Additionally, we exhibit two families of explicit entire toric solutions on $mathbb C^n$ with continuous H"older exponent $alphain(0,1)$ and $W^{2,p}$ exponent $pin (1,2)$.  This is a joint work with Wenlong Wang.

报告人简介：王嘉项，2015年本科毕业于浙江工业大学,博士毕业于浙江大学，期间去澳大利亚汪徐家院士那里学习一年。博士毕业之后在北京大学做了两年博士后，曾获博士后创新人才支持计划，目前就职于南开大学。主要从事复几何与复Monge-Ampere方程领域的研究，已在 J. Funct. Anal., Trans. Am. Math. Soc.，Pacif. J. Math.等核心数学期刊发表学术论文十多篇。

邀请人：金永阳 曹军