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Differential Geometry I
Check in the VVZ for a current information.
Contents: This course is devoted to differentiable manifolds. We begin by studying their differentiable functions, maps and the rank theorem. We then move on to Sard's Theorem, apply it to the Whitney Embedding Theorem and, if time permits, to Brouwer's Fixed Point Theorem. A later part of the course deals with differential forms, integration theory, the exterior derivative, Stokes' Theorem and applications to de Rham cohomology.
Lecturer: Prof. Dr. Marc Burger
Organizer: Stephan Tornier
Lecture
On Wednesdays: 1-3 p.m. at HG E 5, starting on 16.09.
On Fridays: 8-10 a.m. at HG D 1.1.
Exercises
According to the following table based on Nemesis enrolment, starting on 17.09.
|
Assistant |
Time | Place | Box |
| Franziska Borer |
Thursdays, 2-3 p.m. |
HG E 21 |
HG F 28 |
| Berit Singer |
Thursdays, 1-2 p.m. |
CAB G 52 |
HG F 28 |
| Samuel Trautwein |
Fridays, 1-2 p.m. |
HG G 26.3 |
HG F 28 |
| Micha Wasem |
Thursdays, 2-3 p.m. |
HG F 26.3 |
HG F 28 |
Go to your taskbase account for the exercise sheets and more information.
Literature
The following items may be useful.
Dennis Barden and Charles Thomas: An Introduction to Differential Manifolds.
William M. Boothby: An Introduction to Differentiable Manifolds and Riemannian Geometry.
John W. Milnor: Topology from the Differentiable Viewpoint.
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