中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
偏微分方程研讨班
Speaker: 胡京辰 副教授（四川大学）
Inviter: 邱国寰
Language: Chinese
Title: Rigidity for the entire solution to the Complex Monge–Ampère Equation
Time & Venue: 2026年10月16日（星期五）14:00-15:00 思源楼S817
Abstract: In this talk, we prove that every entire locally bounded plurisubharmonic solution of det(u_{iȷ})=1 in the Bedford–Taylor sense, with two-sided positive quadratic growth, is a real quadratic polynomial. This resolves the rigidity conjecture of Gábor Székelyhidi. The main ingredient is a pseudo-C² interior estimate controlling the difference between a solution and its Green-function average.