Syllabus

Announcement: No lecture on Monday, April 29.

Current Plan:

  • (3 weeks) (7 weeks) Abelian categories; chain complexes; derived functors

  • (2 weeks) Tor and Ext; homological dimension (Co)limits detour

  • (4 weeks) (5 weeks) Derived categories; triangulated categories; spectral sequences

  • (2 weeks) (1 week) Group cohomology; Hochschild homology

  • (2 weeks) Sheaf cohomology; Simplicial methods; further topics

Problem Sets: 

  1. Problem Set 1, due Feb. 1
  2. Problem Set 2, due Mar. 1 Mar. 4 in class or in my mailbox before 4pm
  3. Problem Set 3, due May 6 by end of the day