Geometry, Rigidity, and Group Actions (Chicago Lectures in Mathematics Series CLM) - Tapa dura

Libro 2 de 5: Chicago Lectures in Mathematics
 
9780226237886: Geometry, Rigidity, and Group Actions (Chicago Lectures in Mathematics Series CLM)
Tapa dura
ISBN 10: 0226237885 ISBN 13: 9780226237886
Editorial: University of Chicago Press, 2011

Sinopsis

The study of group actions is more than a hundred years old but remains to this day a vibrant and widely studied topic in a variety of mathematic fields. A central development in the last fifty years is the phenomenon of rigidity, whereby one can classify actions of certain groups, such as lattices in semi-simple Lie groups. This provides a way to classify all possible symmetries of important spaces and all spaces admitting given symmetries. Paradigmatic results can be found in the seminal work of George Mostow, Gregory Margulis, and Robert J. Zimmer, among others. The papers in "Geometry, Rigidity, and Group Actions" explore the role of group actions and rigidity in several areas of mathematics, including ergodic theory, dynamics, geometry, topology, and the algebraic properties of representation varieties. In some cases, the dynamics of the possible group actions are the principal focus of inquiry. In other cases, the dynamics of group actions are a tool for proving theorems about algebra, geometry, or topology. This volume contains surveys of some of the main directions in the field as well as research articles on topics of current interest.

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Acerca del autor

Benson Farb is professor of mathematics at the University of Chicago. He is the author of Problems on Mapping Class Groups and Related Topics and coauthor of Noncommutative Algebra. David Fisher is professor of mathematics at Indiana University.

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Editorial
University of Chicago Press
Año de publicación
2011
Idioma
Inglés
ISBN 10 
0226237885
ISBN 13 
9780226237886
Encuadernación
Tapa dura
Número de páginas
600
Editor
Farb Benson, Fisher David
Contacto del fabricante
no disponible
Persona responsable
no disponible