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Geometric Group Theory (Hardcover)
Loot Price: R3,224
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Geometric Group Theory (Hardcover)
Series: IAS/Park City Mathematics Series
Expected to ship within 12 - 17 working days
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Geometric group theory refers to the study of discrete groups using
tools from topology, geometry, dynamics and analysis. The field is
evolving very rapidly and the present volume provides an
introduction to and overview of various topics which have played
critical roles in this evolution. The book contains lecture notes
from courses given at the Park City Math Institute on Geometric
Group Theory. The institute consists of a set of intensive short
courses offered by leaders in the field, designed to introduce
students to exciting, current research in mathematics. These
lectures do not duplicate standard courses available elsewhere. The
courses begin at an introductory level suitable for graduate
students and lead up to currently active topics of research. The
articles in this volume include introductions to CAT(0) cube
complexes and groups, to modern small cancellation theory, to
isometry groups of general CAT(0) spaces, and a discussion of
nilpotent genus in the context of mapping class groups and CAT(0)
groups. One course surveys quasi-isometric rigidity, others contain
an exploration of the geometry of Outer space, of actions of
arithmetic groups, lectures on lattices and locally symmetric
spaces, on marked length spectra and on expander graphs, Property
tau and approximate groups. This book is a valuable resource for
graduate students and researchers interested in geometric group
theory.
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