Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/622
Title: Ratner’s Theorem on Unipotent Flow
Authors: Kumar, Arun
Keywords: Mathematics
Unipotent Flows
Issue Date: 3-Sep-2016
Publisher: IISER-M
Abstract: Unipotent flows are well behaved dynamical systems. In particular, Marina Ratner has shown that the closure of every orbit for such a flow is of nice algebraic(or geometric) form. This is known as the Ratner Orbit Closure Theorem; the Ratner Measure Classification Theorem and the Ratner Equidistribution Theorem are closely related results. After presenting these imporatnt theorems and some of their Consequences, I would discuss the main ideas of the proof. I will present examples that illustrate the theorems, some of their applications, and the main ideas involved in the proof.
URI: http://hdl.handle.net/123456789/622
Appears in Collections:MS Dissertation by MP-2013

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