09-28【Longzhi LIN】腾讯会议 Spectral Geometry Seminar 系列讲座之 019

发布者:卢珊珊发布时间:2022-09-27浏览次数:10

Title: Energy convexity and uniqueness of conformal-harmonic maps


Speaker:Longzhi LIN (UC Santa Cruz)


Time: September 28,10:30-11:30


Place: 腾讯会议:419-604-062 会议密码:202219


Abstract: In this talk we will survey some recent results on the energy convexity for weakly harmonic and biharmonic maps and the applications. We will then introduce a conformally invariant analogue of the intrinsic biharmonic map that we call conformal-harmonic map, which is a critical point of a conformally invariant energy functional in four dimension and satisfies a conformally invariant fourth order Paneitz-type PDE. A version of energy convexity and uniqueness of conformal-harmonic maps that we showed in a most recent joint work with J. Zhu will be discussed.