nLab Complex oriented cohomology theories and the language of stacks

This page is to record the reference:

• Michael Hopkins:

  
  

  Complex oriented cohomology theories and the language of stacks

  1999

  pdf, pdf

on complex oriented cohomology, the Adams spectral sequence, indicating the modern picture of E-infinity geometry over the “derived stacks” formally dual to S and MU.

A predecessor is

• Frank Adams, Stable homotopy and generalised homology, 1974

Much of this is later discussed more comprehensively in the lectures

• Jacob Lurie, Chromatic Homotopy Theory, 2010

See also

• Doug Ravenel, Complex cobordism and stable homotopy groups of spheres, 1986/2003

category: reference