Giovanni Felder: Catalogue data in Autumn Semester 2016

Name Prof. Dr. Giovanni Felder
FieldMathematik
Address
Professur für Mathematik
ETH Zürich, HG G 46
Rämistrasse 101
8092 Zürich
SWITZERLAND
Award: The Golden Owl
Telephone+41 44 632 34 09
E-mailgiovanni.felder@math.ethz.ch
URLhttp://www.math.ethz.ch/~felder
DepartmentMathematics
RelationshipFull Professor

NumberTitleECTSHoursLecturers
401-4580-66LCharacteristic Classes and Elliptic Genus Restricted registration - show details
Number of participants limited to 12.
4 credits2SQ. Chen, G. Felder
AbstractCharacteristic classes, spin structures and Dirac opertor, applications of the Atiyah-Signer index theorem, elliptic genus and modular forms.
ObjectiveCharacteristic classes, spin structures and Dirac opertor, applications of the Atiyah-Signer index theorem, elliptic genus and modular forms.
ContentTentative 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)
Literature1. Characteristic Classes by Milnor
2. Differential Forms in Algebraic Topology by Bott & Tu
3. Manifolds and Modular Forms by Hirzebruch, Berger and Jung
Prerequisites / NoticePrerequisite: Algebraic Topology.
401-5330-00LTalks in Mathematical Physics Information 0 credits1KA. Cattaneo, G. Felder, M. Gaberdiel, G. M. Graf, H. Knörrer, T. H. Willwacher, University lecturers
AbstractResearch colloquium
Objective