Homogeneous flows, moduli spaces, and arithmetic : proceedings of the Clay Mathematics Institute Summer School, Centro di recerca matematica Ennio de Giorgi, Pisa, Italy, June 11--July 6, 2007 / Manfred Leopold Einsiedler [and others], editors

Corporate Author:: Clay Mathematics Institute. Summer School (2007 : Centro di recerca matematica Ennio de Giorgi)
Published:: Providence, R.I. : American Mathematical Society for the Clay Mathematics Institute, Cambridge, MA, [2010]
Copyright Date:: ©2010
Physical Description:: xi, 438 pages : illustrations ; 26 cm.
Additional Creators:: Einsiedler, Manfred Leopold, 1973-

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Series:

Clay mathematics proceedings, v. 10

Contents:

Machine generated contents note: Interval Exchange Maps and Translation Surfaces / Jean-Christophe Yoccoz -- Unipotent Flows and Applications / Alex Eskin -- Quantitative Nondivergence and its Diophantine Applications / Dmitry Kleinbock -- Diagonal Actions on Locally Homogeneous Spaces / Elon Lindenstrauss -- Fuchsian Groups, Geodesic Flows on Surfaces of Constant Negative Curvature and Symbolic Coding of Geodesics / Svetlana Katok -- Chaoticity of the Teichmuller Flow / Artur Avila -- Orbital Counting via Mixing and Unipotent Flows / Hee Oh -- Equideistribution on the Modular Surface and L-Functions / Gergely Harcos -- Eigenfunctions of the Laplacian on negatively curved manifolds: a semiclassical approach / Nalini Anantharaman.

Summary:

This book contains a wealth of material concerning two very active and interconnected directions of current research at the interface of dynamics, number theory and geometry. Examples of the dynamics considered are the action of subgroups of SL (n, R) on the space of unit volume lattices in Rn and the action of SL (2, R) or its subgroups on moduli spaces of flat structures with prescribed singularities on a surface of genus [≥] 2. --
The text includes comprehensive introductions to the state-of-the-art in these important areas and several surveys of more advanced topics, including complete proofs of many of the fundamental theorems. on the subject. It is intended for graduate students and researchers wishing to study these fields either for their own sake or as tools to be applied in a variety of fields such as arithmetic, Diophantine approximations, billiards, etc. --Book Jacket.

Subject(s):

ISBN:

9780821847428 (alk. paper)
0821847422 (alk. paper)

Bibliography Note:

Includes bibliographical references.

View MARC record | catkey: 7518088