Qingtao Chen: Katalogdaten im Herbstsemester 2016

NameHerr Dr. Qingtao Chen
Adresse
Dep. Mathematik
ETH Zürich, HG FO 27.8
Rämistrasse 101
8092 Zürich
SWITZERLAND
E-Mailqingtao.chen@math.ethz.ch
DepartementMathematik
BeziehungDozent

NummerTitelECTSUmfangDozierende
401-4580-66LCharacteristic Classes and Elliptic Genus Belegung eingeschränkt - Details anzeigen
Maximale Teilnehmerzahl: 12
4 KP2SQ. Chen, G. Felder
KurzbeschreibungCharacteristic classes, spin structures and Dirac opertor, applications of the Atiyah-Signer index theorem, elliptic genus and modular forms.
LernzielCharacteristic classes, spin structures and Dirac opertor, applications of the Atiyah-Signer index theorem, elliptic genus and modular forms.
InhaltTentative 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)
Literatur1. Characteristic Classes by Milnor
2. Differential Forms in Algebraic Topology by Bott & Tu
3. Manifolds and Modular Forms by Hirzebruch, Berger and Jung
Voraussetzungen / BesonderesPrerequisite: Algebraic Topology.