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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