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Compactifications of Symmetric and Locally Symmetric Spaces (Mathematics: Theory & Applications) by Armand Borel; Lizhen Ji is a nonfiction available to read on EtoBox.

What is Compactifications of Symmetric and Locally Symmetric Spaces (Mathematics: Theory & Applications) about?

Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups). In most applications it is necessary to form an appropriate compactification of the space. The literature dealing with such compactifications is vast. The main purpose of this book is to introduce uniform constructions of most of the known compactifications with emphasis on their geometric and topological structures. The book is divided into three parts. Part I studies compactifications of Riemannian symmetric spaces and their arithmetic quotients. Part II is a study of compact smooth manifolds. Part III studies the compactification of locally symmetric spaces. Familiarity with the theory of semisimple Lie groups is assumed, as is familiarity with algebraic groups defined over the rational numbers in later parts of the book, although most of the pertinent material is recalled as presented. Otherwise, the book is a self-contained reference aimed at graduate students and research mathematicians in

Who reads Compactifications of Symmetric and Locally Symmetric Spaces (Mathematics: Theory & Applications)?

Author

Armand Borel; Lizhen Ji

Publisher

Birkhäuser Boston

Published

2006

Language

EN

ISBN

9781280624056

Category

nonfiction

Subjects

Mathematics, Stem