Dynamics, Geometry, Number Theory

The Impact of Margulis on Modern Mathematics

Dynamics, Geometry, Number Theory
David Fisher, Dmitry Kleinbock, Gregory Soifer
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NZ$ 142.99
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NZ$ 114.39
Hardback
h23 x 15mm - 496pg
7 Feb 2022 US
International import eta 10-30 days
9780226804026
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This definitive synthesis of mathematician Gregory Margulis' s research brings together leading experts to cover the breadth and diversity of disciplines Margulis' s work touches upon. Mathematicians David Fisher, Dmitry Kleinbock, and Gregory Soifer highlight in this edited collection the foundations and evolution of research by widely influential Fields Medalist Gregory Margulis. Margulis is unusual in the degree to which his solutions to particular problems have opened new vistas of mathematics; his ideas were central, for example, to developments that led to the recent Fields Medals of Elon Lindenstrauss and Maryam Mirzhakhani. Dynamics, Geometry, Number Theory introduces these areas, their development, their use in current research, and the connections between them. Divided into four broad sections-Arithmeticity, superrigidity, normal subgroups; Discrete subgroups; Expanders, representations, spectral theory; and Homogeneous dynamics-chapters have all been written by the foremost experts on each topic with a view to making them accessible both to graduate students and to experts in other parts of mathematics. This was no simple feat: Margulis' s work stands out in part because of its depth, but also because it brings together ideas from different areas of mathematics. Few can be experts in all of these fields, and this diversity of ideas can make it challenging to enter Margulis' s research. Dynamics, Geometry, Number Theory provides one remedy to that challenge.
"A superb contribution in every regard: purely scientifically; expounding upon the many deep works of Margulis and thereby appropriately honoring him and his work; and putting the contributions in context and sorting them in appropriate categories, while explaining the deep connections between them. The intellectual level of this book is astounding. I will recommend it to all my associates, graduate students, postdocs, and other researchers, and surely to my library. "--Ralf Spatzier, University of Michigan "Margulis is one of the great mathematicians of the twentieth century and the first decades of this century, whose work is central today. This valuable book collects reflections on his work by some of the most prominent scholars in the area. Uniquely broad in scope, the whole collection is very strong, and the whole is greater than the parts. Terrific!"--Shmuel Weinberger, University of Chicago "Margulis' s work has had a tremendous impact on mathematics, and this book will be read by scholars from a broad cross-section of mathematical backgrounds connected to the four sections of the volume and beyond. It will serve as a go-to collection for specialists and graduate students alike. "--Alan Reid, Rice University
David Fisher is the Ruth N. Halls Distinguished Professor of Mathematics at Indiana University, Bloomington. Dmitry Kleinbock is professor of mathematics at Brandeis University. Gregory Soifer is professor emeritus of mathematics at Bar-Ilan University, Israel.
Status: Active
ISBN-13: 9780226804026
Published: 7 Feb 2022
Published In: United States
Imprint: University of Chicago Press
Publisher: University of Chicago Press
Format: Hardback
Height: 23mm
Width: 15mm
Pages: 496

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