MATH-416 / 5 credits

Teacher: Monod Nicolas

Language: English


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

====================
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

In the programs

  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Abstract analysis on groups
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: optional
  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Abstract analysis on groups
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: optional
  • Semester: Spring
  • Exam form: Oral (summer session)
  • Subject examined: Abstract analysis on groups
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Type: optional

Reference week

Related courses

Results from graphsearch.epfl.ch.