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
Einsiedler, Manfred Leopold (EDT); Ellwood, David Alexandre (EDT); Eskin, Alex (EDT); Kleinbock, Dmitry (EDT); Lindenstrauss, Elon (EDT)
ISBN 10: 0821847422 ISBN 13: 9780821847428
Published by American Mathematical Society, 2010
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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.
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Bibliographic Details
Title: Homogeneous Flows, Moduli Spaces and ...
Publisher: American Mathematical Society
Publication Date: 2010
Binding: Soft cover
Condition: New