Algebraic Topology II (Wintersemester 2016/17)
- Dozent*in: Dr. Caterina Campagnolo
- Veranstaltungen: Vorlesung (0111500), Übung (0111510)
- Semesterwochenstunden: 4+2
Lecture course with exercise session. The weekly homework is due on Wednesdays and can be handed in after the lecture.
The homework sets will be published on the ILIAS course webpage.
| Termine | |||
|---|---|---|---|
| Vorlesung: | Montag 11:30-13:00 | SR 3.068 | Beginn: 17.10.2016 |
| Mittwoch 11:30-13:00 | SR 3.061 | ||
| Übung: | Donnerstag 14:00-15:30 | SR 3.069 | Beginn: 20.10.2016 |
| Lehrende | ||
|---|---|---|
| Dozentin | Dr. Caterina Campagnolo | |
|
Sprechstunde: nach Vereinbarung |
||
|
Zimmer 1.033 Kollegiengebäude Mathematik (20.30) |
||
| Email: caterina.campagnolo@kit.edu | Übungsleiterin | Dr. Sabine Braun |
|
Sprechstunde: nach Vereinbarung |
||
|
Zimmer 1.015 Kollegiengebäude Mathematik (20.30) |
||
| Email: sabine.braun@kit.edu | ||
This lecture is the natural continuation of Algebraic Topology I and will build on the notions acquired there.
After a last result on CW-complexes we will introduce Euler characteristic and homological algebra. Next will come cohomology and the various product structures that it carries, followed by chapters on vector bundles and manifolds. At the end of the lecture we will discuss duality results between homology and cohomology, in particular Poincaré duality.
From the 26th of October and on the lectures start at 11:25 on Mondays in order to have a 5 minutes break, but at 11:30 on Wednesdays without break, for organizational reasons.