Title：Energy convexity of harmonic and bi-harmonic maps and its applications

Speaker：林龙智  （University of California, Santa Cruz）

Time：2019年6月28日      下午  14:30-15:30

Room：东区管理科研楼   0029cc金沙贵宾会1308室

Abstract：We will discuss some recent results on the energy convexity and uniqueness of weakly harmonic and bi-harmonic maps, in particular the energy convexity and uniqueness for weakly harmonic maps with Dirichlet and free boundaries on 2 dimensional domains and for weakly intrinsic bi-harmonic maps on 4 dimensional domains. Applications of these results include the existence of minimal disks with free boundary in closed Riemannian manifolds and the long time existence and uniform convergence of intrinsic bi-harmonic map heat flow with small initial bi-energy. This is based on joint work with P. Laurain and with X. Zhou & A. Sun.