Optimal transportation and its link with the Monge-Ampere equation
报告专家：汪徐家 教授（西湖大学）
报告时间：2025年7月21日（周一）下午2:30-3:30
报告地点：数学学院西303
报告摘要：
Optimal transportation is a tool to measure the difference of two data sets, and is useful in machine learning and data sciences, and in other subjects as well. It has been studied by many authors in the last three decades. The existence of optimal mappings can be obtained by Kantorovich’s duality. For the regularity, one is led to the study of the associated Monge-Ampère type equation, which is a prototype of fully nonlinear partial differential equations. In this lecture, we will introduce optimal transportation, and review the regularity theory of the Monge-Ampère equation.
专家简介：
汪徐家，西湖大学数学讲席教授，澳大利亚科学院院士；主要研究非线性椭圆抛物方程理论及其在几何与物理中的应用，取得了一系列深刻的成果，工作发表在Acta Math.、Ann. Math.、Invent. Math.和J. Amer. Math. Soc.等刊；曾获晨兴数学金奖、澳大利亚数学会奖章、澳大利亚桂冠学者（Laureate Fellowship）称号，并应邀在国际数学家大会做45分钟报告。
邀请人：张旭
