Graduate Topology Seminar 2019, I: Rational Homotopy Theory

The aim of the graduate topology seminar of semester 1, 2019 is to understand the basics of rational homotopy theory. Participants are expected to have basic knowledge on simplicial and singular (co)homology, and know the definition of higher homotopy groups.  Knowledge on de Rham cohomology is very helpful, but not necessary.

Schedule: 3-4pm Thursdays, PH101 (Belz Room).

References:

Talks:

  • 14/03/2019: Adrian Hendrawan Putra, Differential Graded Algebras (lecture notes).
  • 28/03/2019: Alex Clark, Minimal Models of DGAs. (lecture notes)
  • 04/04/2019: Alex Clark, Homotopy Theory of DGAs.
  • 11/04/2019: Blake Sims, Fibrations, Eilenberg-MAc Lane Spaces and Postnikov Towers.
  • 18/04/2019: Tom Dove, The Rational Localization of Spaces.
  • 02/05/2019: Adrian Hendrawan Putra, Piece-wise Linear deRham Complexes, I.
  • 09/05/2019: Finn McGlade, Piece-wise Linear deRham Complexes, II.
  • 16/05/2019: Adrian Hendrawan Putra, Principal Finbrations and Hirsch Extensions.
  • 23/05/2019: Finn McGlade, The Minimal Models of Spaces. (lecture notes)
  • 30/05/2019: Diarmuid Crowley, Selected Applications of Rational Homotopy Theory – Links, Mapping Class Groups and (In)formal Manifolds.