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Dynamics, Geometry, Number Theory
Dynamics, Geometry, Number Theory
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arithmeticity
automatic-update
B01=David Fisher
B01=Dmitry Kleinbock
B01=Gregory Soifer
Category1=Non-Fiction
Category=PB
classroom use
college
comprehensive
COP=United States
Delivery_Delivery within 10-20 working days
discrete subgroup
dynamics
education
eq_isMigrated=2
eq_nobargain
expanders
foundations
geometry
graduate students
homogeneous dynamic
impact
influence
integer-valued functions
integers
Language_English
learning
margulis
math
mathematician
mathematics
normal subgroups
number theory
PA=Available
Price_€50 to €100
PS=Active
representations
softlaunch
spectral
superrigidity
understanding
university
Product details
- ISBN 9780226804026
- Weight: 880g
- Dimensions: 152 x 229mm
- Publication Date: 07 Feb 2022
- Publisher: The University of Chicago Press
- Publication City/Country: US
- Product Form: Hardback
- Language: English
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.
This edited collection highlights 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 area of research. Dynamics, Geometry, Number Theory provides one remedy to that challenge.
This edited collection highlights 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 area of research. Dynamics, Geometry, Number Theory provides one remedy to that challenge.
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.
Dynamics, Geometry, Number Theory
€77.99
