Period domains over finite and p-adic fields /

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Bibliographic Details
Author / Creator:Dat, Jean-François.
Imprint:Cambridge ; New York : Cambridge University Press, ©2010.
Description:1 online resource (xxii, 372 pages) : illustrations
Language:English
Series:Cambridge tracts in mathematics ; 183
Cambridge tracts in mathematics ; 183.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11826643
Hidden Bibliographic Details
Other authors / contributors:Orlik, Sascha, 1971-
Rapoport, M., 1948-
ISBN:9780511918285
0511918283
9780511914515
0511914512
9780511762482
0511762488
9780521197694
0521197694
Notes:Includes bibliographical references (pages 358-368) and index.
Print version record.
Summary: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.
Other form:Print version: Dat, Jean-François. Period domains over finite and p-adic fields. Cambridge ; New York : Cambridge University Press, 2010 9780521197694
Standard no.:9786612818066

MARC

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245 1 0 |a Period domains over finite and p-adic fields /  |c Jean-François Dat, Sascha Orlik, Michael Rapoport. 
260 |a Cambridge ;  |a New York :  |b Cambridge University Press,  |c ©2010. 
300 |a 1 online resource (xxii, 372 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Cambridge tracts in mathematics ;  |v 183 
504 |a Includes bibliographical references (pages 358-368) and index. 
505 0 |a pt. 1. Period domains for GLn over finite fields -- pt. 2. Period domains for reductive groups over finite fields -- pt. 3. Period domains over p-adic fields. 
588 0 |a Print version record. 
520 |a 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. 
650 0 |a Geometry, Algebraic.  |0 http://id.loc.gov/authorities/subjects/sh85054140 
650 0 |a Symmetric domains.  |0 http://id.loc.gov/authorities/subjects/sh85131433 
650 0 |a Finite fields (Algebra)  |0 http://id.loc.gov/authorities/subjects/sh85048351 
650 0 |a p-adic fields.  |0 http://id.loc.gov/authorities/subjects/sh85096400 
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700 1 |a Rapoport, M.,  |d 1948-  |0 http://id.loc.gov/authorities/names/n87943884 
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