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