05-11【Chong Song】Finite-Time Singularities of 2d Harmonic Map Heat Flow

Time:2023-05-08Views:16

Speaker: Chong Song(Xiamen University)

Time: 14:00-15:30,  May 11, 2023

Room: Tencent Meeting: 845 321 768



Topping's work which dates back 20 years ago has shown that in general the 2d harmonic map heat flow can develop wild singularities in finite-time. On the other hand, it has been conjectured then that, if the target manifold is analytic, the finite-time singularities should be well-behaved, including removable singularity and no-neck property. In this talk, I will survey some recent progress on this conjecture in the special case where the target manifold is Kahler.