Topology & Geometric Group Theory Seminar

Spring 2009

1:30 – 2:30, Malott 207

Thursday, March 26

Amir Mohammadi, Yale University

Unipotent flows in positive characteristic and applications

Over the past 40 years or so unipotent flow on homogeneous spaces and its applications to number theory, especially to Diophantine approximation, has attracted considerable attention. Margulis's proof of the Oppenheim conjecture and Ratner's seminal work on the proof of Raghunathan's conjecture are two very important landmarks in the field. Although Raghunathan's conjecture in characteristic zero is settled, the question in positive characteristic is wide open. In this talk we will address recent progress on this question. In particular we will report on joint work with M. Einsiedler on classification of joinings for certain unipotent flows. This has applications to quasi-isometry rigidity of lattices.

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