Photo of Hillel Furstenberg The Ohio State University
Department of Mathematics

Hillel Furstenberg
Hebrew University

Member of the National Academy of Sciences
Winner of the Harvey Prize in Mathematics

Lecture Series

Boundaries of Groups - A View from the Inside

February 12 - March 14, 2002

Tuesdays/Thursdays 2:30pm - 4:18pm

Smith Laboratory, Room SM 3094

For the location of the Smith Lab see: 3D map - 2D map

Lectures 1, 2, 3: Amenability and group actions on compact and compact convex spaces. Iwasawa groups and their boundaries. Harmonic functions on Riemannian symmetric spaces and their boundary values.
Lectures 4, 5, 6: Random matrix products and laws of large numbers. Qualitative behavior of random products and random walks on groups. Generalized harmonic functions and the Poisson boundary.
Lectures 7, 8: Boundaries of lattices in semi-simple Lie groups (the work of Kaimanovitch and Ledrappier). Application to rigidity of lattices.
Lectures 9, 10: Entropy of general group actions. Structure theory for higher rank Lie group actions (the work of Nevo and Zimmer).

For additional information, please contact: Vitaly Bergelson, Department of Mathematics,
614-292-1180 or

Department of Mathematics