(2023-11-09) 几何与方程讨论班: Dekai Zhang(张德凯)-- The Monge-Ampere equation for (n-1)-quaternionic PSH functions

发布者:杨璐发布时间:2023-11-06浏览次数:12

丘成桐中心几何与方程组讨论班

SEU Yau Center Geometry and PDE Seminar

 

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

Speaker: Dekai Zhang张德凯

AffiliationShanghai University (上海大学)

Time: 10:00-11:00, November 9th (Thu.), 2023 (GMT+8)

Venue: Room 1502, Shing-Tung Yau Center, Yifu Architecture Building, Sipailou Campus of Southeast University, Nanjing

          (东南大学四牌楼校区逸夫建筑馆丘成桐中心1502室)

InviterFeida Jiang(蒋飞达)


 

Abstract: 

In this talk, 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.

 

Speaker:

张德凯,上海大学讲师,2018年博士毕业于中国科学技术大学,研究方向为非线性偏微分方程和几何分析,相关研究成果接受或发表在JDGJDEJGAPacific J. Math.等期刊上。2018年入选上海市超级博士后资助, 曾获国家自然科学基金青年基金资助。


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