Period domains over finite and p-adic fields / Jean-François Dat, Sascha Orlik, Michael Rapoport.

Format:

Book

Author/Creator:

Dat, Jean-François, author.

Orlik, Sascha, 1971- author.

Rapoport, M., 1948- author.

Series:

Cambridge tracts in mathematics ; 183.

Cambridge tracts in mathematics ; 183

Language:

English

Subjects (All):

Geometry, Algebraic.

Symmetric domains.

Finite fields (Algebra).

p-adic fields.

Physical Description:

1 online resource (xxii, 372 pages) : digital, PDF file(s).

Other Title:

Period Domains over Finite & <I>p</I>-adic Fields

Place of Publication:

Cambridge : Cambridge University Press, 2010.

Language Note:

English

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.

Contents:

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.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. 358-368) and index.

ISBN:

1-107-20532-8

1-282-81806-6

9786612818066

0-511-91730-9

0-511-91631-0

0-511-91451-2

0-511-91828-3

0-511-76248-8

0-511-91270-6

OCLC:

670411469