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• Tags
  • #homotopy/stable-homotopy/equivariant #higher-algebra/K-theory
• Refs:
  • https://etale.site/writing/ustars-tmf-beamer.pdf#page=103 #resources/slides #resources/summaries
• Links:
  • algebraic K theory
  • chromatic homotopy
  • moduli stack of formal groups
  • local spectra

Morava K theory

Motivations

#why-care: these represent cohomology theories with Kunneth isomorphisms (not just a Kunneth SES).

This last property can be interpreted as the statement that the Tate fixed point spectrum \(K(n)^{t G}\) is trivial for any \(G\in{\mathsf{Fin}}{\mathsf{Grp}}\).

See split epi.

Construction