Mumford-Tate Groups and Domains: Their Geometry and Arithmetic | Agenda Bookshop
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A01=Mark Green
A01=Matt Kerr
A01=Phillip A. Griffiths
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Author_Mark Green
Author_Matt Kerr
Author_Phillip A. Griffiths
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Mumford-Tate Groups and Domains: Their Geometry and Arithmetic

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. See more
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A01=Mark GreenA01=Matt KerrA01=Phillip A. GriffithsAge Group_UncategorizedAuthor_Mark GreenAuthor_Matt KerrAuthor_Phillip A. Griffithsautomatic-updateCategory1=Non-FictionCategory=PBGCategory=PBKBCategory=PBKDCategory=PBMWCOP=United StatesDelivery_Delivery within 10-20 working daysLanguage_EnglishPA=AvailablePrice_€100 and abovePS=Activesoftlaunch
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Product Details
  • Weight: 680g
  • Dimensions: 178 x 254mm
  • Publication Date: 22 Apr 2012
  • Publisher: Princeton University Press
  • Publication City/Country: United States
  • Language: English
  • ISBN13: 9780691154244

About Mark GreenMatt KerrPhillip A. Griffiths

Mark Green is professor of mathematics at the University of California Los Angeles and is Director Emeritus of the Institute for Pure and Applied Mathematics. Phillip A. Griffiths is Professor Emeritus of Mathematics and former director at the Institute for Advanced Study in Princeton. Matt Kerr is assistant professor of mathematics at Washington University in St. Louis.

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