Jerusalem Mathematics Colloquium

Thursday, 15th June 2006, 4:00 pm
Mathematics Building, Lecture Hall 2

Manfred Einsiedler
(Ohio State University)

"Higher rank Cartan actions, invariant measures and compact orbits"

Abstract: Ratner's theorems on unipotent actions on e.g. the quotient SL(n,Z)\SL(n,R) have found many interesting applications in different areas of mathemtaics, most notably in number theory. Furstenberg, Katok, Spatzier, and Margulis have conjectured that similar results should hold for the action of the full diagonal subgroup once n is at least 3. We will discuss partial results towards a classification of invariant measures and some of its applications.

Light refreshments will be served in the faculty lounge at 3:30.

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