Lubin-Tate theory, character theory, and power operations
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2018
- DOI:
- 10.48550/arXiv.1810.12339
- arXiv:
- arXiv:1810.12339
- Bibcode:
- 2018arXiv181012339S
- Keywords:
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- Mathematics - Algebraic Topology;
- 55N20
- E-Print:
- To appear in the Handbook of Homotopy Theory