In 2008, Krieger, Schlag and Tataru constructed a family of type II blow up solutions to the 2+1 dimensional wave map equation with unit sphere as its target. A key feature of this family is that it exhibits a continuum of blow up rates. However, from its construction, the stability of this family was not clear. In this talk, I will present our work in which the stability of this family is proved within the equivariant framework. This is based on joint work with Joachim Krieger. Speaker(s): Shuang Miao (Wuhan University, China)