Algebraic Topology Seminar
Monday, November 16, 2020 at 4:30pmVirtual Event
Title : Equivariant Morava K-Theories?
Abstract : At height h=2n−1mh=2n−1m, the Morava stabilizer group contains a cyclic group GG of order 2n2n. In this talk, I will present equivariant spectra that refine the classical height hh Morava KK-theories. These are obtained from GG-equivariant models of Lubin-Tate spectra which were constructed in recent joint work with Hill-Shi-Zeng. I will present some preliminary results and conjectures about their slice filtration and equivariant homotopy groups and discuss how exotic transchromatic extensions lead to interesting differentials. This is joint work with Hill-Shi-Zeng.