Contents:
  • Introduction
  • p-divisible groups
  • The Honda-Tate classification
  • Tate modules and level structures
  • Polarizations
  • Forms and involutions
  • Shimura varieties of type U (1, n-1)
  • Deformation theory
  • Topological automorphic forms
  • Relationship to automorphic forms
  • Smooth G-spectra
  • Operation on TAF
  • Buildings
  • Hypercohomology of adele groups
  • K(n)-local theory
  • Example: chromatic level 1.