Towards a modulo p Langlands correspondence for GL2 / Christophe Breuil, Vytautas Paskunas.

Format:

Book

Author/Creator:

Breuil, Christophe, 1968-

Contributor:

Paskunas, Vytautas.

Series:

Memoirs of the American Mathematical Society ; no. 1016.

Memoirs of the American Mathematical Society, 0065-9266 ; no. 1016

Language:

English

Subjects (All):

Representations of groups.

Local fields (Algebra).

Galois theory.

Physical Description:

v, 114 pages ; 26 cm.

Place of Publication:

Providence, R.I. : American Mathematical Society, 2012.

Summary:

Mathematicians Breuil (National Center of Scientific Research, Paris) and Paskunas (U. of Bielefeld, Germany) construct new families of smooth admissible Fp-representations of GL2(F), where F is a finite extension of Qp. Among their topics are Hecke algebra, extensions of principal series, generic diamond weights, the extension lemma, and generic diamond diagrams and representations of GL2. There is no index. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)

Contents:

Introduction

Representation theory of [left ceiling bracket] over Fp I

Representation theory of [left ceiling bracket] over Fp II

Representation theory of [left ceiling bracket] over Fp III

Results on k-extensions

Hecke algebra

Computation of [doublestruck R] 1 I for principal series

Extensions of principal series

General theory of diagrams and representations of GL2

Examples of diagrams

Generic Diamond weights

The unicity Lemma

Generic Diamond diagrams

The representations of D0(p) and D1(p)

Decomposition of generic Diamond diagrams

Generic Diamond for f [element of] {1,2}

The representation R ([standard deviation])

The extension Lemma

Generic diamond diagrams and representations of GL2

The case F=[doublestruck Q]p

Notes:

"Volume 216, number 1016 (second of 4 numbers)."

Includes bibliographical references (pages 113-114).

ISBN:

9780821852279

0821852272

OCLC:

793867357