CGTA colloquium: Prof Jie Wu (Hebei Normal University, China) Event

Title : Modular cohomotopy groups

Abstract : Cohomotopy (cohomology) theory can be viewed as a (non-abelian) generalized cohomology theory, that has various applications such as its deep connections with framed cobordism via unstable and framed version of Pontrjagin-Thom construction. The (integral) cohomotopy sets/groups have been extensively studied. In this talk, after giving a breif review on cohomotopy theory, we propose the study on modular cohomotopy theory, which has canonical connections with integral cohomotopy theory via double suspensions and Anick fibre sequences. Finally, we will report our recent progress on modular cohomotopy theory. This is a joint work with Pengcheng Li and Jianzhong Pan.