Description: Further DetailsTitle: Mumford-Tate Groups and DomainsCondition: NewSubtitle: Their Geometry and ArithmeticISBN-10: 0691154244EAN: 9780691154244ISBN: 9780691154244Publisher: Princeton University PressFormat: HardbackRelease Date: 04/22/2012Description: Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of new views and results, it will become an essential resource for graduate students and researchers. Although Mumford-Tate groups can be defined for general structures, their theory and use to date has mainly been in the classical case of abelian varieties. While the book does examine this area, it focuses on the nonclassical case. The general theory turns out to be very rich, such as in the unexpected connections of finite dimensional and infinite dimensional representation theory of real, semisimple Lie groups. The authors give the complete classification of Hodge representations, a topic that should become a standard in the finite-dimensional representation theory of noncompact, real, semisimple Lie groups.They also indicate that in the future, a connection seems ready to be made between Lie groups that admit discrete series representations and the study of automorphic cohomology on quotients of Mumford-Tate domains by arithmetic groups. Bringing together complex geometry, representation theory, and arithmetic, this book opens up a fresh perspective on an important subject.Language: EnglishCountry/Region of Manufacture: USItem Height: 254mmItem Length: 178mmItem Weight: 680gAuthor: Mark Green, Phillip A. Griffiths, Matt KerrGenre: Science Nature & MathBook Series: Annals of Mathematics StudiesRelease Year: 2012 Missing Information?Please contact us if any details are missing and where possible we will add the information to our listing.
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Book Title: Mumford-Tate Groups and Domains
Title: Mumford-Tate Groups and Domains
Subtitle: Their Geometry and Arithmetic
ISBN-10: 0691154244
EAN: 9780691154244
ISBN: 9780691154244
Release Date: 04/22/2012
Release Year: 2012
Country/Region of Manufacture: US
Genre: Science Nature & Math
Number of Pages: 288 Pages
Language: English
Publication Name: Mumford-Tate Groups and Domains : Their Geometry and Arithmetic
Publisher: Oxford University Press, Incorporated
Subject: Group Theory, Geometry / Algebraic, Complex Analysis
Publication Year: 2012
Item Height: 1.1 in
Item Weight: 24 Oz
Type: Textbook
Subject Area: Mathematics
Item Length: 10.4 in
Author: Phillip A. Griffiths, Matt Kerr, Mark Green
Series: Annals of Mathematics Studies
Item Width: 7.3 in
Format: Hardcover
