Cohomology operations and Formal Groups
Berkeley, Spring 2021. CCN: 15973 (23)

Lecture Schedule (on Zoom, Tuesdays, 1:10–2:30 pm)

  1. 2/2: Constantin Teleman, Overview and goals
    References: Peterson, Ravenel
  2. 2/9: Constantin Teleman: Eilenberg-MacLane spaces and their cohomology
    References: Hatcher, Serre.
  3. 2/16: [Talk cancelled, discussion]
  4. 2/23: C Teleman?: Structure of the Steenrod Algebra I
    References: Atiyah-Hirzebruch, Hatcher, Inoue, Smith, Tamanoi
  5. 3/2: C Teleman?: Structure of the Steenrod Algebra II

    6. References: Atiyah-Hirzebruch, Hatcher, Inoue, Smith, Tamanoi
  6. 3/9: Kiran Luecke: Steenrod and Dyer-Lashof Operations I
  7. 3/16: Kiran Luecke: Steenrod and Dyer-Lashof Operations II
  8. 3/30 and April: Formal groups, universal formal group laws, automorphisms and cohomology theories. (Ravenel A2)

Bibliography:

  1. M.F. Atiyah and F. Hirzebruch: Cohomologie-Operationen und charakteristische Klassen Math. Zeitschr 77 (1961)
  2. Hatcher, Algebraic Topology, Cambridge, 4L
  3. H. Inoue, The Steenrod algebra and the automorphism group of the additive formal group law, J. Math. Kyoto Univ. 45, 2005
  4. Milnor and Stasheff, Characteristic Classes,
  5. Eric Peterson, Formal Geometry and Bordism Operations. Cambridge, 2019
  6. D. Ravenel, Complex Cobordism and Stable Homotopy, A.1.5, AMS Chelsea 2004
  7. D. Ravenel, Complex Cobordism and Stable Homotopy, A.2, AMS Chelsea 2004
  8. Serre, Cohomologie modulo 2 des complexes d'Eilenberg-MacLane. Commentarii Mathematici Helvetici 27 (1953)
  9. L Smith, An algebraic introduction to the Steenrod algebra, Geometry&Topology Monographs 11 (2007)
  10. Steenrod and Epstein, Cohomology Operations, Princeton
  11. H. Tamanoi, Q-Subalgebras, Milnor Basis and cohomology of Eilenberg-MacLane spaces