Lubin-Tate theory, character theory, and power operations Article Swipe
Related Concepts
Homogeneous space
Character (mathematics)
Cohomology
Group (periodic table)
Deformation theory
Mathematics
Algebra over a field
Action (physics)
Pure mathematics
Conjunction (astronomy)
Homotopy
Group theory
Deformation (meteorology)
Physics
Geometry
Quantum mechanics
Meteorology
Astronomy
Nathaniel Stapleton
·
YOU?
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· 2018
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1810.12339
· OA: W4289362753
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1810.12339
· OA: W4289362753
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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