The goal of this thematic seminar is to provide students with the opportunity to present a mathematical topic in a seminar format. This cycle of seminars will focus on sub-Riemannian geometry.

Sub-Riemannian geometry is a rich field of study that connects differential geometry, metric geometry, analysis on metric spaces, and the theory of groups and Lie groups. Sub-Riemannian geometry has applications in control theory and appears as limit of Riemannian spaces and as asymptotic cones of finitely generated groups, among other contexts.

The primary reference for this course is “Lecture Notes on Sub-Riemannian Geometry” by Enrico Le Donne. An online version is available at this link.

Other links:

List of topics and meetings:

Dates and subjects may change over time:

  • 25 September : Introductory lesson
  • 2 October : No lesson
  • 9 October : Chow’s Theorem
    Sections: 3.2.1, 3.2.2, 3.2.3
    Speaker : Perroud
  • 16 October : No lesson
  • 23 October : The Heisenberg group
    Sections: 1.1, 1.2, 1.3.1, 1.4.1
    Speaker: Braun
  • 30 October : Isometrically homogeneous spaces
    Sections : 5.1, 5.2
    Speaker : Bornet
  • 6 November: No lesson
  • 13 November : The End Point Map
    Sections : 6.2
    Speaker : Bossert
  • 20 November : Volume growth in Lie groups
    Sections : 5.4
    Speaker : Matano
  • 27 November : No Lesson
  • 4 December : Final Meeting
  • 11 December : No Lesson
  • 18 December : No Lesson