The following is a list of topics for WETSK 2013. I expect
most of these topics to occupy 1 or 2 class periods, though 3 is also
possible.
Return to the syllabus.
Classifying spaces and group cohomology
1. (Rob) Group cohomology and aspherical spaces: MacLane (1945)
2. (Safia) Nerves and classifying spaces: Segal (1968)
3. (Deb) The Salvetti complex and aspherical arrangements: Paris (1993), d'Antonio and Delucchi (2011)
4. (Rob) The fundamental group of an arrangement: Paris (1993)
5. (Christin) Cohomology of an arrangement: Brieskorn (1971), Orlik and Solomon (1980)
6. (Safia--delayed) Higher homotopy groups of arrangements: Papadima and Suciu (2002)
Equivariant cohomology
7. (Zhanwen) Basic definitions and structure theorems: Borel (1960), chapters IV and XII
8. (Matt) The Orlik-Solomon algebra and the Varchenko-Gelfand algebra: Proudfoot (2003), Moseley (2011)
Whirlwind rational homotopy theory
9. (Justin) Postnikov towers and rationalization: Griffiths and Morgan (1981) through Chapter 7, May (1983)
10. Deb DGAs and rational homotopy theory: Griffiths and Morgan (1981) Chapters 8-11
11. The fundamental group in rational homotopy theory: Griffiths and Morgan (1981) Chapter 12
12. Rational homotopy theory of hyperplane arrangements: Kohno (1983), Falk (1988),
Papadima and Yuzvinsky (1999)