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The Ohio State University
Department of Mathematics welcomes: 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 vitaly@math.ohio-state.edu