Homogeneous Flows, Moduli Spaces and Arithmetic (Clay Mathematics Proceedings): Proceedings of the Clay Mathematics Institute Summer School Centro Di ... De Giorgi, Pisa, Italy, June 11-july 6, 2007 - Softcover

Softcover

ISBN 10: 0821847422 ISBN 13: 9780821847428

Publisher: American Mathematical Society, 2010

Synopsis

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.

Edition details

• Publisher: American Mathematical Society
• Publication date: 2010
• Language: English
• ISBN 10: 0821847422
• ISBN 13: 9780821847428
• Binding: Paperback
• Number of pages: 438
• Editor: Manfred Leopold Einsiedler, David Alexandre Ellwood, Alex Eskin, Dmitry Kleinbock, Elon Lindenstrauss