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Thin Groups and Superstrong Approximation by Emmanuel Breuillard (Université de Paris XI) at Abbey's Bookshop,
Thin Groups and Superstrong Approximation
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Emmanuel Breuillard (Université de Paris XI) Hee Oh (Yale University, Connecticut)

Thin Groups and Superstrong Approximation

Emmanuel Breuillard (Université de Paris XI),  Hee Oh (Yale University, Connecticut)

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English
Cambridge University Press
17 February 2014
Number theory
Series: Mathematical Sciences Research Institute Publications
This collection of survey and research articles focuses on recent developments concerning various quantitative aspects of 'thin groups'. There are discrete subgroups of semisimple Lie groups that are both big (i.e. Zariski dense) and small (i.e. of infinite co-volume). This dual nature leads to many intricate questions. Over the past few years, many new ideas and techniques, arising in particular from arithmetic combinatorics, have been involved in the study of such groups, leading, for instance, to far-reaching generalizations of the strong approximation theorem in which congruence quotients are shown to exhibit a spectral gap, referred to as superstrong approximation. This book provides a broad panorama of a very active field of mathematics at the boundary between geometry, dynamical systems, number theory and combinatorics. It is suitable for professional mathematicians and graduate students in mathematics interested in this fascinating area of research.
Edited by:   , ,
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Volume:   61
Dimensions:   Height: 239mm,  Width: 163mm,  Spine: 25mm
Weight:   660g
ISBN:   9781107036857
ISBN 10:   1107036852
Series:   Mathematical Sciences Research Institute Publications
Pages:   376
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

Emmanuel Breuillard is a Professor at the Laboratoire de Mathématiques, Université Paris-Sud Orsay. He was recently awarded an EMS Prize by the European Mathematical Society for his work in group theory. Hee Oh is a Professor of Mathematics at Brown University. She is an inaugural Fellow of the American Mathematical Society and has given a joint AMS-MAA invited address at the 2012 Joint Mathematics meetings and an invited lecture at the International Congress of Mathematicians in 2010.

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