Localization is a fundamental tool to study the stable homotopy category and the localized stable homotopy categories with respect to Morava K-theories are building blocks for the (global) stable homotopy category.
Morava E-theory is a basic tool to study the localized stable homotopy category with respect to Morava K-theory.
Morava E-theory is a generalization of the complex K-theory and we have power operations in Morava E-theory, which are a generalization of Adams operations.
In this talk we consider a comparison of power operations in Morava E-theories of different heights.