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arXiv · 1810.12339

Lubin-Tate theory, character theory, and power operations

Nathaniel Stapleton
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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.

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Nathaniel Stapleton. 2018-10-29. Lubin-Tate theory, character theory, and power operations. https://arxiv.org/abs/1810.12339

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