Reduction Theory and Arithmetic Groups by Mark Mittleberg

Reduction Theory and Arithmetic Groups by Mark Mittleberg

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.

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.

SKU	Unavailable
ISBN 13	9781108832038
ISBN 10	1108832032
Title	Reduction Theory and Arithmetic Groups
Author	Joachim Schwermer
Series	New Mathematical Monographs
Condition	Unavailable
Binding Type	Hardback
Publisher	Cambridge University Press
Year published	2022-12-15
Number of pages	374
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable