Distinguished Lecture——Existence and regularity in optimal transportation
报告人：汪徐家 (西湖大学)
时间：2025-05-16 10:30-11:30
地点：304am永利集团智华楼四元厅
报告摘要: Optimal transportation has found many applications in modern science and technology, such as optical imaging, machine learning, and involves different branches of mathematics. It has been extensively studied in the last three decades. By Kantorovich's dual functional, the optimal mapping is determined by the potential function, which satisfies a Monge-Ampere type equation. The regularity of the Monge-Ampere equation is a key issue in the study of optimal transportation. It was found that the regularity depends on the cost function and the geometry of the domains. In this talk, we will discuss the existence of optimal mappings and the regularity issue in optimal transportation.
个人简介：汪徐家教授主要从事非线性椭圆抛物方程理论及其应用的研究，取得了一系列深刻的成果。解决了陈省身的仿射Bernstein问题猜想和Monge的原始最优运输问题。对Monge-Ampere型方程的正则性和位势理论以及平均曲率流的奇性刻画做出突破性工作。在2002年获澳大利亚数学会奖章，2007年获第四届华人数学家大会晨兴数学金奖，2009年当选为澳大利亚科学院院士。2013年获得澳大利亚Laureate Fellowship。
