株式会社極東書店トップ商品一覧Dynamics, Geometry, Number Theory : The Impact of Margulis on Modern Mathematics.

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Dynamics, Geometry, Number Theory

Dynamics, Geometry, Number Theory : The Impact of Margulis on Modern Mathematics.

・ISBN 978-0-226-80402-6 hard US$ 81.00

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-226-80416-3

著者・編者Fisher, David / Kleinbock, Dmitry / Soifer, Gregory (eds.),
出版社(University of Chicago Press, US)
出版年月2022
ページ数496 pp.
言語ENG
ニュース番号<M25-15185>

解説

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.