Lecture 1 (4 Sept) Steenrod I, Husemoller I (fiber bundles), Boothby IV (homogeneous spaces)
Lectures 2 & 3 (9 & 11 Sept) Steenrod I, Fomenko 1.5 (covering homotopy theorem), Husemoller I, Guillemin & Sternberg 1.2, Milnor, Milnor & Stasheff 5 & 6 (classifying spaces)
Lecture 4 (16 Sept) The above, plus Hatcher 3.5 (cellular cohomology), 3F (direct limits), 4.1 (cellular approximation), Stasheff, Mac Lane (group cohomology), Atiyah & Bott or Guillemin & Sternberg (equivariant cohomology)
Lectures 5 & 6 (18 & 23 Sept) Hatcher's unpublished manuscript, Bott & Tu, Fomenko et al. (spectral sequences)
Lecture 7 (30 Sept) Bröcker & tom Dieck IV.1 (Weyl group), Bott & Tu 11 (Lefschetz fixed point theorem), Borel LNM 36 (cohomology of classifying spaces and homogeneous spaces)
Lecture 8 (2 Oct) Bröcker & tom Dieck IV.2 (maximal tori), Bott & Tu 21 (flag bundles), Spanier 5.9 (Hopf algebras),
Lecture 9 (7 Oct) Bröcker & tom Dieck V.1-2 (generation of Weyl group by reflections), Helgason, Bourbaki (Chevalley's theorem)
Lecture 10 (14 Oct) Borel L.A.G., Macdonald's chapter in Carter et al. (generalities on algebraic groups and homogeneous spaces), Macdonald's chapter in Atiyah et al., Chevalley VI, Bröcker & tom Dieck III.8 (complexification)
Lectures 11 & 12 (16 & 21 Oct) Borel L.A.G., Macdonald's chapter in Carter et al. (actions of solvable groups, Lie-Kolchin theorem, Borel subgroups, existence of homogeneous spaces, projectivity of G/B, affineness of G/H for H normal), Mumford et al., Hochschild (reductive and compact groups).
Lecture 13 (23 Oct) Bröcker & tom Dieck V (root systems), Borel PNAS (reductive vs. compact homogeneous spaces)
Lecture 14 (28 Oct) Borel L.A.G. (fixed points of group actions on G/B, etc.), Bialynicki-Birula (decomposition theorem)
Lectures 15 & 16 (30 Oct & 6 Nov) Borel L.A.G. (Bruhat decomposition), Kumar, Humphreys, Bourbaki (ordering on the Weyl group)
Lectures 17, 18, 19... (11, 13, 18 Nov...) Bernstein-Gelfand-Gelfand
Last two lectures (9 & 11 Dec) Segal's chapter in Carter et al. (Borel-Weil), Bott, Demazure (Borel-Weil-Bott)