报告题目：New developments on the Monge-Ampere equation
报告时间：2025-04-01 16:30-17:30
报 告 人 ：汪徐家 教授 西湖大学
报告地点：雷军科技楼六楼644报告厅
腾讯会议ID：895-706-393（同步直播）
报告摘要：
The Monge-Ampere equation has significant applications in fields such as optimal transport, optical imaging, convex geometry, differential and affine geometry, and has been extensively studied in recent years, substantial new advances have been achieved in both theory and applications. In this lecture, we will introduce various applications of the Monge-Ampere equation and their extensions, and discuss new breakthroughs in the study of the regularity theory. The Monge-Ampere equation is a class of fully nonlinear partial differential equation with strong singularity, it exhibits strong inherent characteristics that makes conventional numerical methods unsatisfactory. We will also present a fast and stable computational approach to its numerical solutions.专家简介：
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.
