Thin Groups and Superstrong Approximation (BOK)

Emmanuel Breuillard

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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.


Språk Engelsk Engelsk Innbinding Innbundet
Utgitt 2014 Forfatter Emmanuel Breuillard
ISBN 9781107036857
Antall sider 373 Dimensjoner 15,6cm x 23,4cm x 2,3cm
Vekt 660 gram Leverandør Bertram Trading Ltd
Andre medvirkende Emmanuel Breuillard, Hee Oh