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Jean-François Dat Sascha Orli Period Domains over Finite (Hardback) (UK IMPORT)

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Item specifics

Condition
Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
Book Title
Period Domains over Finite and p-adic Fields
Title
Period Domains over Finite and p-adic Fields
EAN
9780521197694
ISBN
9780521197694
Release Date
07/08/2010
Release Year
2010
Genre
Science Nature & Math
Country/Region of Manufacture
GB

About this product

Product Identifiers

Publisher
Cambridge University Press
ISBN-10
0521197694
ISBN-13
9780521197694
eBay Product ID (ePID)
84308766

Product Key Features

Number of Pages
396 Pages
Publication Name
Period Domains over Finite and P-Adic Fields
Language
English
Subject
Number Theory, Geometry / Algebraic, Mathematical Analysis
Publication Year
2010
Type
Textbook
Subject Area
Mathematics
Author
Michael Rapoport, Sascha Orlik, Jean-François Dat
Series
Cambridge Tracts in Mathematics Ser.
Format
Hardcover

Dimensions

Item Height
1 in
Item Weight
24.7 Oz
Item Length
9 in
Item Width
6 in

Additional Product Features

Intended Audience
Scholarly & Professional
Reviews
"This book gives a very detailed and pedagogical introduction to the theory of period domains over finite and p-adic fields. It should prove indispensable for every non-expert or graduate student who wants to understand current research in arithmetic geometry or number theory using this theory." Volker J. Heiermann, Mathematical Reviews, 'This monograph is a systematic treatise on period domains over finite and over p-adic fields. It presents the theory as it has developed over the past fifteen years … The book should serve as the basis of future research in this area.' Zentralblatt MATH
Dewey Edition
22
Series Volume Number
Series Number 183
Illustrated
Yes
Dewey Decimal
516.35
Table Of Content
Preface; Introduction; Part I. Period Domains for GLn Over a Finite Field: 1. Filtered vector spaces; 2. Period domains for GLn; 3. Cohomology of period domains for GLn; Part II. Period Domains for Reductive Groups over Finite Fields: 4. Interlude on the Tannakian formalism; 5. Filtrations on repk(G); 6. Period domains for reductive groups; 7. Cohomology of period domains for reductive groups; Part III. Period Domains over p-adic Fields: 8. Period domains over p-adic fields; 9. Period domains for p-adic reductive groups; 10. Cohomology of period domains over p-adic fields; Part IV. Complements: 11. Further aspects of period domains; References; Index.
Synopsis
This systematic exposition of the basics of period domains is a pedagogical introduction accessible to any graduate student with a basic knowledge in algebraic geometry and algebraic groups. The authors provide numerous worked examples, remarks on open questions, historical context and references to the literature., This book is, on the one hand, a pedagogical introduction to the formalism of slopes, of semi-stability and of related concepts in the simplest possible context. It is therefore accessible to any graduate student with a basic knowledge in algebraic geometry and algebraic groups. On the other hand, the book also provides a thorough introduction to the basics of period domains, as they appear in the geometric approach to local Langlands correspondences and in the recent conjectural p-adic local Langlands program. The authors provide numerous worked examples and establish many connections to topics in the general area of algebraic groups over finite and local fields. In addition, the end of each section includes remarks on open questions, historical context and references to the literature.
LC Classification Number
QA564 .D37 2010

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