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  3. Reel analyse, reelle variabler

Mumford-Tate Groups and Domains

- Their Geometry and Arithmetic
Af: Phillip A. Griffiths, Mark Green, Matt Kerr Engelsk Paperback

Mumford-Tate Groups and Domains

- Their Geometry and Arithmetic
Af: Phillip A. Griffiths, Mark Green, Matt Kerr Engelsk Paperback
Tjek vores konkurrenters priser

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.

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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.

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Produktdetaljer
Sprog: Engelsk
Sider: 288
ISBN-13: 9780691154251
Indbinding: Paperback
Udgave:
ISBN-10: 0691154252
Kategori: Reel analyse, reelle variabler
Udg. Dato: 22 apr 2012
Længde: 15mm
Bredde: 174mm
Højde: 252mm
Forlag: Princeton University Press
Oplagsdato: 22 apr 2012
Forfatter(e): Phillip A. Griffiths, Mark Green, Matt Kerr
Forfatter(e) Phillip A. Griffiths, Mark Green, Matt Kerr

Kategori Reel analyse, reelle variabler

ISBN-13 9780691154251

Sprog Engelsk

Indbinding Paperback

Sider 288

Udgave

Længde 15mm

Bredde 174mm

Højde 252mm

Udg. Dato 22 apr 2012

Oplagsdato 22 apr 2012

Forlag Princeton University Press

Kategori sammenhænge