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4:00 pm Thursday, September 27, 2012 Colloquium: Orbit closure theorems in number theory and geometryby Amir Mohammadi (University of Texas, Austin) in HB 227- Understanding orbit closures in dynamical systems is a fundamental question. In general one can only give information about the behavior of a "typical" orbit and not about that of every orbit. However, there are rather nontrivial dynamical systems, where extra structure of the system allows one to "classify" all orbit closures. Two important examples are unipotent flows on homogeneous spaces and the action of SL(2, R) on the moduli space of a compact Riemann surface. In this talk we give an overview of the developments around such rigidity results and discuss some applications.
Submitted by jtanis@rice.edu |