Giovanni Felder: Katalogdaten im Herbstsemester 2016
| Name | Herr Prof. Dr. Giovanni Felder |
| Lehrgebiet | Mathematik |
| Adresse | Professur für Mathematik ETH Zürich, HG G 46 Rämistrasse 101 8092 Zürich SWITZERLAND  |
| Telefon | +41 44 632 34 09 |
| giovanni.felder@math.ethz.ch | |
| URL | http://www.math.ethz.ch/~felder |
| Departement | Mathematik |
| Beziehung | Ordentlicher Professor |
| Nummer | Titel | ECTS | Umfang | Dozierende | |
|---|---|---|---|---|---|
| 401-4580-66L | Characteristic Classes and Elliptic Genus  Maximale Teilnehmerzahl: 12 | 4 KP | 2S | Q. Chen, G. Felder | |
| Kurzbeschreibung | Characteristic classes, spin structures and Dirac opertor, applications of the Atiyah-Signer index theorem, elliptic genus and modular forms. | ||||
| Lernziel | Characteristic classes, spin structures and Dirac opertor, applications of the Atiyah-Signer index theorem, elliptic genus and modular forms. | ||||
| Inhalt | Tentative Syllabus 1. Vector bundles and differential forms (1 lectures) 2. Basics for Chacteristic classes such as Stiefel-Whitney classes, Wu Classes, Chern Classes and Pontryagin classes (3 lectures) 3. Spin structures and Dirac operators (2 lectures) 4. Atiyah-Singer Index theorem and its application (1-2 lectures) 5. Multiplicative sequences and various genera (1 lecture) 6. Elliptic genus and modular forms (1 lecture) 7. Miraculous cancellation formulas for Hirzebruch L genus (1 lecture) 8. Miscellaneous topics (1 lecture) | ||||
| Literatur | 1. Characteristic Classes by Milnor 2. Differential Forms in Algebraic Topology by Bott & Tu 3. Manifolds and Modular Forms by Hirzebruch, Berger and Jung | ||||
| Voraussetzungen / Besonderes | Prerequisite: Algebraic Topology. | ||||
| 401-5330-00L | Talks in Mathematical Physics  | 0 KP | 1K | A. Cattaneo, G. Felder, M. Gaberdiel, G. M. Graf, H. Knörrer, T. H. Willwacher, Uni-Dozierende | |
| Kurzbeschreibung | Research colloquium | ||||
| Lernziel | |||||