Tags: #homotopy_theory #arithmetic_geometry #reading_notes

AWS 2019 Background Definitions

References

• https://en.wikipedia.org/wiki/Glossary_of_algebraic_geometry
• https://en.wikipedia.org/wiki/Glossary_of_commutative_algebra

Topics

• spectra
• Lazard ring
• Adams-Novikov spectral sequence
• stack
• quasicoherent sheaf
• Representation theory for groups
• Nilpotent
• ramified prime
• Thom spectrum
• Deformation space
• Local class field theory
• Local Langlands correspondence
• orbifold
• Lubin-Tate space
• uniformization
• Picard group
• Adams-Novikov spectral sequence
• complex cobordism
• stable homotopy
• chromatic homotopy theory
• Coherent stack cohomology
• Formal group
• Lubin-Tate theory
• central simple algebra