Group Actions in Ergodic Theory, Geometry, and Topology

Selected Papers

Robert J Zimmer, David Fisher, David Fisher , Alexander Lubotzky

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English

University of Chicago Press
23 December 2019

Geometry; Topology

Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career. Zimmer’s body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer’s ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology.

In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program.

By: Robert J Zimmer
Foreword by: David Fisher, Alexander Lubotzky, Gregory Margulis
Edited by: David Fisher
Imprint: University of Chicago Press
Country of Publication: United States
Dimensions: Height: 254mm, Width: 178mm,
ISBN: 9780226568133
ISBN 10: 022656813X
Pages: 672
Publication Date: 23 December 2019
Audience: General/trade , ELT Advanced
Format: Hardback
Publisher's Status: Active

Robert J. Zimmer is president of the University of Chicago. He is the author of two books, Ergodic Theory and Semisimple Groups and Essential Results of Functional Analysis and more than eighty mathematical research articles.

Reviews for Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers

"""Zimmer is one of the most influential contemporary American mathematicians. The corpus of Zimmer's contributions stands out by its coherence and its grand vision. Much more than being a strong problem-solver, more even than being a theory-builder, Zimmer is a mathematician with an overarching sense of the destination, with a domineering command of all relevant available techniques, with the inspiration to bring to life those techniques that were not available yet, with, in conclusion and to use a trivial formulation, a program.""--Nicolas Monod, cole polytechnique f d rale de Lausanne --Nicolas Monod, cole polytechnique f d rale de Lausanne"