Learning Seminar on Cohomology
Matteus Froese and I want to know: What is cohomology? How do you compute it? What do you do with it? In this seminar, we will aim to answer these questions and more.
- Tuesdays 1:00—2:30, room TBD
Main reference
Schedule
This is our tentative plan; it will be updated as needed. Sections refer to Hatcher.
| Date | Speaker | Topics |
|---|---|---|
| September 8 | Mike Cummings | 2.1 Δ-complexes and simplicial homology |
| September 15 | 2.1 Singular homology and homotopy invariance | |
| September 22 | 2.1 Exact sequences and excision | |
| September 29 | 2.1 More on excision | |
| October 6 | 2.1 Equivalence of simplicial and singular homology | |
| October 13 (reading week) | 2.2 Degree and cellular homology | |
| October 20 | 2.2 More on cellular homology | |
| October 27 | 3.1 Cohomology groups; universal coefficient theorem | |
| November 3 | 3.1 Cohomology of spaces | |
| November 10 | 3.2 Cup product | |
| November 17 | 3.2 More on cup products | |
| November 24 | 3.3 Orientations and homology, Poincaré duality | |
| December 1 | 3.3 Connection between duality and the cup product; other forms of duality | |
| December 8 | 3.F Limits and Ext | |
| December 15 | buffer/overflow week |