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Reduction Theory and Arithmetic Groups by Joachim Schwermer (Universität Wien, Austria) at Abbey's Bookshop,
Reduction Theory and Arithmetic Groups
— —
Joachim Schwermer (Universität Wien, Austria)

Reduction Theory and Arithmetic Groups

Joachim Schwermer (Universität Wien, Austria)

$141.95

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English
Cambridge University Press
15 December 2022
Number theory
Series: New Mathematical Monographs
Arithmetic groups are generalisations, to the setting of algebraic groups over a global field, of the subgroups of finite index in the general linear group with entries in the ring of integers of an algebraic number field. They are rich, diverse structures and they arise in many areas of study. This text enables you to build a solid, rigorous foundation in the subject. It first develops essential geometric and number theoretical components to the investigations of arithmetic groups, and then examines a number of different themes, including reduction theory, (semi)-stable lattices, arithmetic groups in forms of the special linear group, unipotent groups and

tori, and reduction theory for adelic coset spaces. Also included is a thorough treatment of the construction of geometric cycles in arithmetically defined locally symmetric spaces, and some associated cohomological

questions. Written by a renowned expert, this book is a valuable reference for researchers and graduate students.
By:  
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Dimensions:   Height: 251mm,  Width: 176mm,  Spine: 25mm
Weight:   800g
ISBN:   9781108832038
ISBN 10:   1108832032
Series:   New Mathematical Monographs
Pages:   374
Publication Date:  
Audience:   College/higher education ,  Further / Higher Education
Format:   Hardback
Publisher's Status:   Active

Joachim Schwermer is Emeritus Professor of Mathematics at the University of Vienna, and recently Guest Researcher at the Max-Planck-Institute for Mathematics, Bonn. He was Director of the Erwin-Schrödinger-Institute for Mathematics and Physics, Vienna from 2011 to 2016. His research focuses on questions arising in the arithmetic of algebraic groups and the theory of automorphic forms.

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