The mathematical content of my opening lecture is something I have often considered as a blog topic: Seven ways of computing the cohomology of . I think a lot of you will like it.
I am going to have my students take turns preparing electronic notes, which I will edit and post on the course website. Come read along!
Notes to date:
Sheaf cohomology II, de Rham cohomology
Complex differential forms
Cohomology Vanishes on Polydiscs
deRham computation of topological cohomology of affine varieties — preview