Invariant random subgroups

Course topics

  • The Chabauty topology on the space of subgroups.
  • Invariant random subgroups: Basic examples and properties.
  • The Vershik Character
  • Borel’s density and geometric density.
  • The theorem of Kazhdan-Margulis.
  • Bader-Duchesne-Lacureux theorem and some applications.
  • Counting closed circles in graphs.
  • The Nevo-Stuck-Zimmer theorem
  • The 7-samurai theorem and some of its applications.

Course Information

University course catalogue:
201.2.0412
Level:
Graduate
Credits:
4.0
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