Introduction to Ratner's Theorems on Unipotent Flows
Introductory Workshop: Geometric and Arithmetic Aspects of Homogeneous Dynamics February 02, 2015 - February 06, 2015
Location: SLMath: Eisenbud Auditorium
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
14156
Let f be the obvious covering map from Euclidean n-space to the n-torus. It is well known that if L is any straight line in n-space, then the closure of f(L) is a very nice submanifold of the n-torus. In 1990, Marina Ratner proved a beautiful generalization of this observation that replaces Euclidean space with any Lie group G, and allows L to be any subgroup of G that is ``unipotent.'' We will discuss the statement of this theorem and related results, some of the ideas in the proofs, and a few of the important consequences.
|
Morris Notes
|
Download |
14156
| H.264 Video |
14156.mp4
|
Download |
Please report video problems to itsupport@slmath.org.
See more of our Streaming videos on our main VMath Videos page.