Name | Prof. em. Dr. Giovanni Felder |
Field | Mathematics |
Address | Professur für Mathematik ETH Zürich, HG G 46 Rämistrasse 101 8092 Zürich SWITZERLAND |
Telephone | +41 44 632 34 09 |
giovanni.felder@math.ethz.ch | |
URL | http://www.math.ethz.ch/~felder |
Department | Mathematics |
Relationship | Professor emeritus |
Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|
401-4580-66L | Characteristic Classes and Elliptic Genus Number of participants limited to 12. | 4 credits | 2S | Q. Chen, G. Felder | |
Abstract | Characteristic classes, spin structures and Dirac opertor, applications of the Atiyah-Signer index theorem, elliptic genus and modular forms. | ||||
Objective | Characteristic classes, spin structures and Dirac opertor, applications of the Atiyah-Signer index theorem, elliptic genus and modular forms. | ||||
Content | 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) | ||||
Literature | 1. Characteristic Classes by Milnor 2. Differential Forms in Algebraic Topology by Bott & Tu 3. Manifolds and Modular Forms by Hirzebruch, Berger and Jung | ||||
Prerequisites / Notice | Prerequisite: Algebraic Topology. | ||||
401-5330-00L | Talks in Mathematical Physics | 0 credits | 1K | A. Cattaneo, G. Felder, M. Gaberdiel, G. M. Graf, H. Knörrer, T. H. Willwacher, University lecturers | |
Abstract | Research colloquium | ||||
Objective |