Nummer | Titel | ECTS | Umfang | Dozierende |
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401-4573-65L | Surfaces and 3-Manifolds | 4 KP | 2V | A. Sisto |
Kurzbeschreibung | This course is an introduction and invitation to the theory of manifolds of dimension 2 and 3, with focus on the connections between the two dimensions. |
Lernziel | The goal is to give an overview of hyperbolic surfaces, Mapping Class Groups, construction of 3-manifolds, and the geometrisation theorem. The starting point will be the statement of the geometrisation theorem in dimension 2 and the goal the statement of the geometrisation theorem in dimension 3. The choice of topics to discuss, especially in the second part of the course, can vary depending on the interests of the audience. |
Voraussetzungen / Besonderes | The prerequisite is essentially just knowing the definition of manifold. It could help but it's not strictly necessary to know basic covering theory and Riemannian geometry. The exam will consist in presenting a result from the course whose proof has been skipped during the course. |
401-5530-00L | Geometry Seminar | 0 KP | 1K | M. Burger,
M. Einsiedler,
A. Iozzi,
U. Lang,
V. Schroeder,
A. Sisto |
Kurzbeschreibung | Research colloquium |
Lernziel | |