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
E-Mail	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