# Lubin-Tate theory, character theory, and power operations

@article{Stapleton2018LubinTateTC, title={Lubin-Tate theory, character theory, and power operations}, author={Nathaniel J. Stapleton}, journal={Handbook of Homotopy Theory}, year={2018} }

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.

## 5 Citations

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