中科院数学与系统科学研究院

数学研究所

学术报告

偏微分方程研讨班

报告人：张德凯  （上海大学）

题  目：The Monge-Ampere equation for (n-1)-quaternionic PSH functions

时  间：2023.06.02（星期五）14:00-15:00

地  点：数学院南楼N813

摘  要：We consider the quaternionic Monge-Ampere equation for (n-1)-quaternionic plurisubharmonic (psh) functions. We prove the existence of the smooth solution on a compact hyperKahler manifold and thus obtain the smooth solution to the quaternionic form-type equation. This is a joint work with Prof. Jixiang Fu and Xin Xu.