** 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** Lectures 5 & 6 ** (18 & 23 Sept) Hatcher's unpublished manuscript,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)