Abstract analysis on groups
Summary
We study analytic phenomena on groups, notably paradoxical decompositions, fixed point properties and harmonic functions.
Content
Paradoxical decompositions
Fixed point theorems
Harmonic functions
Invariant means
Amenable groups
Learning Prerequisites
Recommended courses
Metric and topological spaces
Analyse fonctionnelle I
Learning Outcomes
By the end of the course, the student must be able to:
- Manage the main content of the course
Teaching methods
Ex cathedra lecture and exercises in the classroom
Expected student activities
Follow the lectures
Attend the exercise sessions
Attempt to solve all exercises and write up the result of these attempts
Work over the lecture
Assessment methods
Oral exam
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Dans le cas de l'art. 3 al. 5 du Règlement de section, l'enseignant décide de la forme de l'examen qu¿il communique aux
étudiants concernés.
Supervision
Office hours | No |
Assistants | Yes |
Forum | No |
Dans les plans d'études
- Semestre: Printemps
- Forme de l'examen: Oral (session d'été)
- Matière examinée: Abstract analysis on groups
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Printemps
- Forme de l'examen: Oral (session d'été)
- Matière examinée: Abstract analysis on groups
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel
- Semestre: Printemps
- Forme de l'examen: Oral (session d'été)
- Matière examinée: Abstract analysis on groups
- Cours: 2 Heure(s) hebdo x 14 semaines
- Exercices: 2 Heure(s) hebdo x 14 semaines
- Type: optionnel