Tom Ilmanen: Katalogdaten im Frühjahrssemester 2023 |
| Name | Herr Prof. Dr. Tom Ilmanen |
| Lehrgebiet | Mathematik |
| Adresse | Professur für Mathematik ETH Zürich, HG G 62.3 Rämistrasse 101 8092 Zürich SWITZERLAND |
| Telefon | +41 44 632 54 43 |
| Fax | +41 44 632 14 04 |
| tom.ilmanen@math.ethz.ch | |
| URL | http://www.math.ethz.ch/~ilmanent |
| Departement | Mathematik |
| Beziehung | Ordentlicher Professor |
| Nummer | Titel | ECTS | Umfang | Dozierende | |||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 401-2534-00L | Geometrie   | 6 KP | 3V + 2U | T. Ilmanen | |||||||||||||||||||||||
| Kurzbeschreibung | The course will treat Möbius transformations and hyperbolic geometry. | ||||||||||||||||||||||||||
| Lernziel | Theorems, proofs, techniques, calculations, pictures, software and examples in geometry. | ||||||||||||||||||||||||||
| Inhalt | Isometry groups; hyperbolic plane; parallels and ultraparallels; getting lost; games and apps; stereographic projection, Möbius transformations, cross ratio; Poincare model, metric, isometries, geodesics, distances; upper half-plane model, ideal triangles, angle-excess formula; Klein model; Minkowski space model; comparisons to spherical and flat geometry; no embedding in R^3; stars appear farther, tidal forces, dangers; possibly compact hyperbolic surfaces, Gauss-Bonnet formula, tesselations, trees. | ||||||||||||||||||||||||||
| Voraussetzungen / Besonderes | Linear algebra, first-year analysis, group theory, complex analysis | ||||||||||||||||||||||||||
| Kompetenzen |
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| 401-5350-00L | Analysis Seminar | 0 KP | 1K | F. Da Lio, A. Figalli, N. Hungerbühler, M. Iacobelli, T. Ilmanen, T. Rivière, J. Serra, Uni-Dozierende | |||||||||||||||||||||||
| Kurzbeschreibung | Forschungskolloquium | ||||||||||||||||||||||||||
| Lernziel | |||||||||||||||||||||||||||
| Inhalt | Research seminar in Analysis | ||||||||||||||||||||||||||