Differential geometry and gauge theory

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Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship
Master ICFP second year Internship

News : ICFP Research seminars
November 6 - 10, 2017 :

All information about the program

2017-2018 Calendars :
Undergraduate program
Master ICFP 1st year
Master ICFP 2nd year

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr

Faculty : Olivier Biquard

Tutor :

ECTS credits : 3

Language of instruction : English

Description :

The course will be an introduction to differential geometry and topology ideas used in theoretical physics, especially in gauge theory.

The topics will be the following (there will be some choice among the most advanced topics) :

- Manifolds, differential forms, cohomology ; Hodge theory
- Fibre bundles, connections, curvature
- Characteristic classes ; Chern-Simons
- Spinors, Dirac operator, Atiyah-Singer index theorem
- Yang-Mills equations, instantons.

Quick links

Next student seminar :
Access to the program

Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship
Master ICFP second year Internship

News : ICFP Research seminars
November 6 - 10, 2017 :

All information about the program

2017-2018 Calendars :
Undergraduate program
Master ICFP 1st year
Master ICFP 2nd year

Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr