Dynamics, Geometry, Number Theory

Fisher David Kleinbock Dmitry Soifer Gregory
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... Read More
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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--the 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.

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Publisher University of Chicago Press
ISBN-10 022680402X
ISBN-13 9780226804026
GTIN-13 9780226804026
GTIN-14 09780226804026
Subtitle The Impact of Margulis on Modern Mathematics
Author Fisher David|Kleinbock Dmitry|Soifer Gregory
Edition 1
Language Code eng
Page Count 496
Publication Date Feb 6, 2022
Dimension 6 in 9 in 0 in