6 results
2 - Irreducible modular representations of the Borel subgroup of GL2(Qp)
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- By Laurent Berger, UMPA, Ecole Normale Supérieure de Lyon, Mathieu Vienney, UMPA, Ecole Normale Supérieure de Lyon
- Edited by Fred Diamond, King's College London, Payman L. Kassaei, King's College London, Minhyong Kim, University of Oxford
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- Book:
- Automorphic Forms and Galois Representations
- Published online:
- 05 October 2014
- Print publication:
- 16 October 2014, pp 32-51
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Contributors
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- By Rose Teteki Abbey, K. C. Abraham, David Tuesday Adamo, LeRoy H. Aden, Efrain Agosto, Victor Aguilan, Gillian T. W. Ahlgren, Charanjit Kaur AjitSingh, Dorothy B E A Akoto, Giuseppe Alberigo, Daniel E. Albrecht, Ruth Albrecht, Daniel O. Aleshire, Urs Altermatt, Anand Amaladass, Michael Amaladoss, James N. Amanze, Lesley G. Anderson, Thomas C. Anderson, Victor Anderson, Hope S. Antone, María Pilar Aquino, Paula Arai, Victorio Araya Guillén, S. Wesley Ariarajah, Ellen T. Armour, Brett Gregory Armstrong, Atsuhiro Asano, Naim Stifan Ateek, Mahmoud Ayoub, John Alembillah Azumah, Mercedes L. García Bachmann, Irena Backus, J. Wayne Baker, Mieke Bal, Lewis V. Baldwin, William Barbieri, António Barbosa da Silva, David Basinger, Bolaji Olukemi Bateye, Oswald Bayer, Daniel H. Bays, Rosalie Beck, Nancy Elizabeth Bedford, Guy-Thomas Bedouelle, Chorbishop Seely Beggiani, Wolfgang Behringer, Christopher M. Bellitto, Byard Bennett, Harold V. Bennett, Teresa Berger, Miguel A. 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- Edited by Daniel Patte, Vanderbilt University, Tennessee
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- Book:
- The Cambridge Dictionary of Christianity
- Published online:
- 05 August 2012
- Print publication:
- 20 September 2010, pp xi-xliv
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On some modular representations of the Borel subgroup of GL2(Qp)
- Part of
- Laurent Berger
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- Journal:
- Compositio Mathematica / Volume 146 / Issue 1 / January 2010
- Published online by Cambridge University Press:
- 11 December 2009, pp. 58-80
- Print publication:
- January 2010
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Colmez has given a recipe to associate a smooth modular representation Ω(W) of the Borel subgroup of GL2(Qp) to a -representation W of by using Fontaine’s theory of (φ,Γ)-modules. We compute Ω(W) explicitly and we prove that if W is irreducible and dim (W)=2, then Ω(W) is the restriction to the Borel subgroup of GL2(Qp) of the supersingular representation associated to W by Breuil’s correspondence.
Overview of recent progress in fisheries acoustics made by Ifremer with examples from the Bay of Biscay
- Verena M. Trenkel, Laurent Berger, Sébastien Bourguignon, Mathieu Doray, Ronan Fablet, Jacques Massé, Valérie Mazauric, Cyrille Poncelet, Gael Quemener, Carla Scalabrin, Hector Villalobos
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- Journal:
- Aquatic Living Resources / Volume 22 / Issue 4 / October 2009
- Published online by Cambridge University Press:
- 01 September 2009, pp. 433-445
- Print publication:
- October 2009
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This paper provides an overview of the progress Ifremer has made recently in fisheries acoustics and the study of small pelagic fish by: i) pushing observation frontiers using a range of platforms including an autonomous underwater vehicle, AUV, ii) developing measuring instruments and methods and iii) studying fish distributions. Presently, information from several frequencies of single-beam echosounders is routinely collected together with data from the ME70 multibeam echosounder. For onboard data acquisition control the HERMES software was developed. The new MOVIES 3D software includes modules for simultaneous realistic 3D visualisation and post-processing such as bottom detection, school extraction and calculation of descriptors and integration of all acoustic data. Several data analysis methods are being developed and some initial results are presented. Finally, results on the spatial distribution of small pelagic fish schools in the Bay of Biscay illustrate the role that acoustics can play, and are already playing, in the implementation of an ecosystem approach to fisheries.
Presque Cp-représentations et (ϕ,Γ)-modules
- Part of
- Laurent Berger
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- Journal:
- Journal of the Institute of Mathematics of Jussieu / Volume 8 / Issue 4 / October 2009
- Published online by Cambridge University Press:
- 30 January 2009, pp. 653-668
- Print publication:
- October 2009
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We associate two almost Cp-representations to a (ϕ,Γ)-module, and we compute their dimensions and heights. As a corollary, we get a full faithfulness result for Be-representations.
Limites de représentations cristallines
- Laurent Berger
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- Journal:
- Compositio Mathematica / Volume 140 / Issue 6 / November 2004
- Published online by Cambridge University Press:
- 15 October 2004, pp. 1473-1498
- Print publication:
- November 2004
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Let F be the fraction field of the ring of Witt vectors over a perfect field of characteristic p (for example $F=\mathbb{Q}_p$), and let GF be the absolute Galois group of F. The main result of this article is the following: a p-adic representation of GF, which is a limit of subquotients of crystalline representations with Hodge–Tate weights in an interval [a; b], is itself crystalline with Hodge–Tate weights in [a; b]. In order to show this, we study the $(\phi,\Gamma)$-modules attached to crystalline representations, which allows us to improve some results of Fontaine, Wach and Colmez.