Algebraic Topology Seminar

At height $h=2^{n-1}m$, the Morava stabilizer group contains a cyclic group $G$ of order $2^n$. In this talk, I will present equivariant spectra that refine the classical height $h$ Morava $K$-theories. These are obtained from $G$-equivariant models of Lubin-Tate spectra which were constructed in recent joint work with Hill-Shi-Zeng. They generalize Hu-Kriz's Real Morava K-theories, which correspond to the case $n=1$. I will present some preliminary results about their slice filtration, their equivariant homotopy groups and discuss transchromatic behavior exhibited by these theories. Speaker(s): Agnes Beaudry (University of Colorado Boulder)