Ratner’s Theorems on Unipotent Flows
نویسنده
چکیده
. . . . . . . . . . . . . . . . . . . . . . ix Possible lecture schedules . . . . . . . . . . . . . . x Acknowledgments . . . . . . . . . . . . . . . . . . xi Chapter
منابع مشابه
Unipotent Flows on Products of Sl(2,k)/γ’s
We will give a simplified and a direct proof of a special case of Ratner’s theorem on closures and uniform distribution of individual orbits of unipotent flows; namely, the case of orbits of the diagonally embedded unipotent subgroup acting on SL(2, K)/Γ1 × · · ·×SL(2, K)/Γn, where K is a locally compact field of characteristic 0 and each Γi is a cocompact discrete subgroup of SL(2, K). This sp...
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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 a nice algebraic (or geometric) form. After presenting some consequences of this important theorem, these lectures explain the main ideas of the proof. Some algebraic technicalities will be pushed to the background. Chapter 1 is the main part of the bo...
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