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Mark Green Phillip A. Griffiths Matt Ke Mumford-Tate Groups and Domai (Hardback)

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Specificaties

Objectstaat
Nieuw: Een nieuw, ongelezen en ongebruikt boek in perfecte staat waarin geen bladzijden ontbreken of ...
Book Title
Mumford-Tate Groups and Domains
Publication Name
Mumford-Tate Groups and Domains : Their Geometry and Arithmetic (Am-183)
Title
Mumford-Tate Groups and Domains
Subtitle
Their Geometry and Arithmetic (AM-183)
ISBN-10
0691154244
EAN
9780691154244
ISBN
9780691154244
Publisher
Oxford University Press, Incorporated
Format
Hardcover
Release Year
2012
Release Date
22/04/2012
Language
English
Country/Region of Manufacture
US
Item Height
0.1in
Item Length
0.1in
Item Weight
24 Oz
Author
Phillip A. Griffiths, Matt Kerr, Mark Green
Genre
Science Nature & Math
Series
Annals of Mathematics Studies
Publication Year
2012
Type
Textbook
Item Width
0.1in
Number of Pages
288 Pages

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Product Information

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.

Product Identifiers

Publisher
Oxford University Press, Incorporated
ISBN-10
0691154244
ISBN-13
9780691154244
eBay Product ID (ePID)
111407489

Product Key Features

Author
Phillip A. Griffiths, Matt Kerr, Mark Green
Publication Name
Mumford-Tate Groups and Domains : Their Geometry and Arithmetic (Am-183)
Format
Hardcover
Language
English
Publication Year
2012
Type
Textbook
Number of Pages
288 Pages

Dimensions

Item Length
0.1in
Item Height
0.1in
Item Width
0.1in
Item Weight
24 Oz

Additional Product Features

Lc Classification Number
Qa564.G634 2012
Reviews
The brilliance of the results and their broad spectrum of their applications makes this book an outstanding piece. Yet, there is more to write and to develop: the authors suggest the existence of future lines of research for a next book. ---Jonathan Sanchez Hernandez, European Mathematical Society, "The brilliance of the results and their broad spectrum of their applications makes this book an outstanding piece. Yet, there is more to write and to develop: the authors suggest the existence of future lines of research for a next book." ---Jonathan Sanchez Hernandez, European Mathematical Society, "The brilliance of the results and their broad spectrum of their applications makes this book an outstanding piece. Yet, there is more to write and to develop: the authors suggest the existence of future lines of research for a next book." --Jonathan Sanchez Hernandez, European Mathematical Society
Copyright Date
2012
Topic
Complex Analysis
Lccn
2011-037621
Intended Audience
Scholarly & Professional
Illustrated
Yes
Genre
Mathematics

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