Geometry, Rigidity, and Group Actions

Released on by Benson Farb
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  • Geometry, Rigidity, and Group Actions Book Detail

  • Author : Benson Farb
  • Release Date : 2011-04-15
  • Publisher : University of Chicago Press
  • Genre : Mathematics
  • Pages : 659
  • ISBN 13 : 0226237907
  • File Size : 66,66 MB
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Geometry, Rigidity, and Group Actions by Benson Farb PDF Summary

Book Description: 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, Gergory 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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Geometry, Rigidity, and Group Actions

Geometry, Rigidity, and Group Actions

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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 cent

Geometry, Rigidity, and Group Actions

Geometry, Rigidity, and Group Actions

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The study of group actions is more than 100 years old but remains a widely studied topic in a variety of mathematic fields. A central development in the last 50

Geometric Group Theory

Geometric Group Theory

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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