Babytop

Student seminar in topology

Fall 2005






Mark Behrens
Hypercohomology of categories

Abstract:

I will begin with an elementary discussion on faithfully flat descent. I will then discuss the notion of a category enriched in a site, and will define presheaves on these things. I'll decribe how to take the cohomology of these things, and will investigate the invariance properties of this cohomology. I'm secretly talking about the cohomology of sheaves on a stack, and the Morava change of rings theorem.