Lubin-Tate theory, character theory, and power operations

  title={Lubin-Tate theory, character theory, and power operations},
  author={Nathaniel J. Stapleton},
  journal={Handbook of Homotopy Theory},
  • N. Stapleton
  • Published 29 October 2018
  • Mathematics
  • Handbook of Homotopy Theory
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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