Lubin-Tate theory, character theory, and power operations
Algebraic Topology
2018-10-31 v1
Abstract
This expository paper introduces several ideas in chromatic homotopy theory around Morava's extraordinary E-theories. In particular, we construct various moduli problems closely related to Lubin-Tate deformation theory and study their symmetries. These symmetries are then used in conjunction with the Hopkins-Kuhn-Ravenel character theory to provide formulas for the power operations and the stabilizer group action on the E-cohomology of a finite group.
Keywords
Cite
@article{arxiv.1810.12339,
title = {Lubin-Tate theory, character theory, and power operations},
author = {Nathaniel Stapleton},
journal= {arXiv preprint arXiv:1810.12339},
year = {2018}
}
Comments
To appear in the Handbook of Homotopy Theory