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Group Actions in Ergodic Theory, Geometry, and Topology

By Robert J. Zimmer & David Fisher &
Group Actions in Ergodic Theory, Geometry, and Topology by Robert J. Zimmer & David Fisher &  digital book - Fable

Publisher Description

Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. 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.

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About Robert J. Zimmer

is president of the University of Chicago. He is the author of  and  and the co-author of . He is also the author of more than eighty mathematical research articles.  is professor of mathematics at Indiana University.

David Fisher

(a.k.a. the Rope Warrior) has performed for millions of fans throughout the world. He has made over 100 national television appearances and has performed for Boris Yeltsin in Russia and for Presidents Bill Clinton and George W. Bush. Since 1993, David has performed live for over five million school children. Fisher can perform razzle-dazzle tricks most people think are impossible -- like jumping rope while sitting on the floor (a.k.a. rump jumps or tush-ups). But what he does better than anyone is teach seemingly impossible tricks so that kids can do them successfully. With a little practice, your kids will build confidence, stay fit, and have fun. You may even be tempted to join in the fun yourself!

Alexander Lubotzky

Gregory Marguils

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