School Colloquium——A gradient flow for volume of Lagrangian manifolds in Hamiltonian isotopy class
报告人:陈竞一 (University of British Columbia)
时间:2023-12-08 14:00-15:00
地点:智华楼四元厅
Abstract:
We introduce a flow which perseveres Hamiltonian isotopy class of Lagrangian submanifolds and it is a gradient flow of volume functional.
Shorttime existence, uniqueness and higher order estimates will be addressed. We study these questions by considering a companion
4th order parabolic flow. This is joint work with Micah Warren.
个人简介:
陈竞一, University of British Columbia 教授。本科毕业于英国威廉希尔公司数学系,在 Stanford University 数学系获得博士学位。曾经在 University of California at Irvine, Northwestern University, MIT 工作; 曾在 Stanford University, Princeton University, Brown University作为访问教授。主要从事几何分析,微分几何、微分方程领域的研究。曾经获得加拿大数学会 Coxter-James 奖、Andre Aisenstadt 奖以及美国的 Sloan Fellowship、Simons Fellow (in Math) 等。