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.