Differential Topology
This seminar is intended for students who have completed the courses Analysis 1-3.
Sommersemester 2014
Dozent: Prof. Dr. Elmar Vogt, Dr. Fabian Lenhardt
Ort: Seminarraum 005, Arnimallee 3
Literature
We plan to work through the small book "Topology from the Differential Viewpoint" by John Milnor, one of the Classics of the Princeton University Press and a mathematical jewel. It introduces the reader to some fundamental concepts of early topology, but instead of using algebraic and combinatorial tools it uses elementary methods from real analysis, also introducing some basic concepts of differential topology like differential manifolds, tangent bundles and vector fields.
Talks
| Termin | Titel | Vortragende(r) | Referenzen |
|---|---|---|---|
|
24.4. |
(1) Prerequisites | ||
|
8.5. |
(2) Regular Values | ||
|
15.5. |
(3) Sard's theorem | ||
|
22.5. |
(4) Degree mod 2 | ||
|
5.6. |
(5) Brouwer degree | ||
|
12.6. |
(6) Vector fields and Euler characteristic | ||
|
19.6. |
(7) Vector fields and Euler characteristic II | ||
|
26.6. |
(8) The Pontrjagin-Thom construction | ||
|
17.6. |
(9) The Pontrjagin-Thom construction |