Program, courses and calendar 2022 - 2023
2022-2023 Timetable and calendar
Courses
Internships
Program, courses and calendar 2023 - 2024
2022-2023 Timetable and calendar
Courses
Internships
Program, courses and calendar 2021 - 2022
2021-2022 Timetable and calendar
Courses
Internships
Admissions
Recrutement sur concours
Recrutement sur dossier : Concours normalien étudiant
Contacts
Seminars
Seminars
2023-2024 FIP/ICFP seminar Program
Undergraduate program Intranet
Archives
Archives 2015-2016
Archives 2016-2017
Archives 2017-2018
Archives 2018-2019
Archives 2019-2020
Archives 2020-2021
Why choose this program?
Program, courses and calendar Master ICFP 1st year (2023-2024)
2023-2024 Calendar and timetable
Courses
Internships
Program, courses and calendar Master ICFP 1st year (2022-2023)
2022-2023 Calendar and timetable
Courses
Internships
Program, courses and calendar Master ICFP 2nd year 2023-2024
First Semester
Second Semester
"Physics Now" Seminars 2019/2020
"Physics Now" Seminars 2020/2021
"Physics Now" Seminars 2021/2022
"Physics Now" Seminars 2023/2024
"Physics Now" Seminars 2022/2023
Internships
2023 2024 calendar
Program, courses and calendar Master ICFP 2nd year 2022-2023
First Semester
Second Semester
"Physics Now" Seminars 2019/2020
"Physics Now" Seminars 2020/2021
"Physics Now" Seminars 2021/2022
"Physics Now" Seminars 2022/2023
Internships
2022 2023 calendar
Admission and Language Requirements
How to apply
Information for students
Information for International Students
Fees and Scholarships
Careers
Master Intranet
Archives
Erreur ( A supprimer)
Program, courses and calendar Master ICFP 1st year (2021-2022)
Program, courses and calendar Master ICFP 1st year (2021-2022)
Program, courses and calendar Master ICFP 2nd year 2021-2022
Program, courses and calendar Master ICFP 2nd year 2020-2021
Program, courses and calendar Master ICFP 2nd year 2019-2020
Archives 2015-2016
Archives 2016-2017
Archives 2017-2018
Archives 2018-2019
Archives 2019-2020
Archives 2020-2021
Program, courses and calendar 2022 - 2023
2022-2023 Timetable and calendar
Courses
Internships
Program, courses and calendar 2023 - 2024
2022-2023 Timetable and calendar
Courses
Internships
Program, courses and calendar 2021 - 2022
2021-2022 Timetable and calendar
Courses
Internships
Admissions
Recrutement sur concours
Recrutement sur dossier : Concours normalien étudiant
Contacts
Seminars
Seminars
2023-2024 FIP/ICFP seminar Program
Undergraduate program Intranet
Archives
Archives 2015-2016
Archives 2016-2017
Archives 2017-2018
Archives 2018-2019
Archives 2019-2020
Archives 2020-2021
Why choose this program?
Program, courses and calendar Master ICFP 1st year (2023-2024)
2023-2024 Calendar and timetable
Courses
Internships
Program, courses and calendar Master ICFP 1st year (2022-2023)
2022-2023 Calendar and timetable
Courses
Internships
Program, courses and calendar Master ICFP 2nd year 2023-2024
First Semester
Second Semester
"Physics Now" Seminars 2019/2020
"Physics Now" Seminars 2020/2021
"Physics Now" Seminars 2021/2022
"Physics Now" Seminars 2023/2024
"Physics Now" Seminars 2022/2023
Internships
2023 2024 calendar
Program, courses and calendar Master ICFP 2nd year 2022-2023
First Semester
Second Semester
"Physics Now" Seminars 2019/2020
"Physics Now" Seminars 2020/2021
"Physics Now" Seminars 2021/2022
"Physics Now" Seminars 2022/2023
Internships
2022 2023 calendar
Admission and Language Requirements
How to apply
Information for students
Information for International Students
Fees and Scholarships
Careers
Master Intranet
Archives
Erreur ( A supprimer)
Program, courses and calendar Master ICFP 1st year (2021-2022)
Program, courses and calendar Master ICFP 1st year (2021-2022)
Program, courses and calendar Master ICFP 2nd year 2021-2022
Program, courses and calendar Master ICFP 2nd year 2020-2021
Program, courses and calendar Master ICFP 2nd year 2019-2020
Archives 2015-2016
Archives 2016-2017
Archives 2017-2018
Archives 2018-2019
Archives 2019-2020
Archives 2020-2021
Next student seminar :
Access to the program
Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship
News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program
Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr
Next student seminar :
Access to the program
Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship
News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program
Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr
Enseignant : Olivier Biquard
ECTS : 3
Langue : Anglais
Modalité dévaluation : Examen écrit
Modalité dévaluation en cas de fermeture des universités : Examen oral de 30 minutes portant sur un article à lire.
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.
Next student seminar :
Access to the program
Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship
News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program
Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr
RECRUITMENT DIRECT ACCESS
The Department of Physics