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6 - Blocks for mod p representations of GL2(ℚp)

Published online by Cambridge University Press:  05 October 2014

Vytautas Paškūnas
Affiliation:
Universität Duisburg–Essen
Fred Diamond
Affiliation:
King's College London
Payman L. Kassaei
Affiliation:
King's College London
Minhyong Kim
Affiliation:
University of Oxford
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Publisher: Cambridge University Press
Print publication year: 2014

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References

[1] L., Barthel and R., Livné, ‘Irreducible modular representations of GL2 of a local field’, Duke Math. J. 75, (1994) 261–292.Google Scholar
[2] L., Berger, ‘Représentations modulaires de GL2(ℚp) et représentations galoisiennes de dimension 2’, Astérisque 330 (2010), 263–279.Google Scholar
[3] L., Berger and C., Breuil, ‘Sur quelques représentations potentiellement cristallines de GL2(ℚp)’, Astérisque 330 (2010) 155–211.Google Scholar
[4] C., Breuil, ‘Sur quelques représentations modulaires et p-adiques de GL2(ℚp). I’, Compositio 138, (2003), 165–188.Google Scholar
[5] C., Breuil, ‘Sur quelques représentations modulaires et p-adiques de GL2(ℚp). II’, J. Inst. Math. Jussieu 2, (2003), 1–36.Google Scholar
[6] C., Breuil and M., Emerton, ‘Représentations p-adiques ordinaires de GL2(ℚp) et compatibilité local-global’, Astérisque 331 (2010), 255–315.Google Scholar
[7] C., Breuil and V., Paškūnas, ‘Towards a modulo p Langlands correspondence for GL2’, Memoirs of AMS, 216, 2012.Google Scholar
[8] P., Colmez, ‘Représentations de GL2(ℚp) et (ϕ, Γ)-modules’, Astérisque 330 (2010) 281–509.Google Scholar
[9] B., Conrad, ‘Weil and Grothendieck approaches to adelic points’, Enseign. Math. (2) 58 (2012), no. 1–2, 61–97.Google Scholar
[10] R.L., Ellis, ‘Extending continuous functions on zero-dimensional spaces’, Math. Ann., 186, (1970), 114–122.Google Scholar
[11] M., Emerton, ‘p-adic L-functions and unitary completions of representations of p-adic reductive groups’, Duke Math. J. 130 (2005), no. 2, 353–392.Google Scholar
[12] M., Emerton, ‘Locally analytic vectors in representations of locally p-adic analytic groups’, to appear in Memoirs of the AMS.
[13] M., Emerton, ‘Local-global compatibility conjecture in the p-adic Langlands programme for GL2/ℚ’, Pure and Applied Math. Quarterly 2 (2006), no. 2, 279–393.Google Scholar
[14] M., Emerton, ‘Local-global compatibility in the p-adic Langlands programme for GL2/ℚ’, Preprint 2011, available at www.math.uchicago.edu/~emerton/preprints.html.
[15] M., Emerton, ‘Ordinary parts of admissible representations of p-adic reductive groups I. Definition and first properties’, Astérisque 331 (2010), 335–381.Google Scholar
[16] M., Emerton, ‘Ordinary parts of admissible representations of p-adic reductive groups II. Derived functors’, Astérisque 331 (2010), 383–438.Google Scholar
[17] P., Gabriel, ‘Des catégories abéliennes’, Bull. Soc. Math. France 90 (1962) 323–448.Google Scholar
[18] J.C., Jantzen, Representations of algebraic groups, 2nd edn, Mathematical Surveys and Momographs, Vol. 107, AMS, 2003.
[19] M., Lazard, ‘Groupes analytiques p-adiques’, Publ. Math. IHES 26 (1965).Google Scholar
[20] R., Ollivier, ‘Le foncteur des invariants sous l'action du pro-p-Iwahori de GL(2, F)’, J. für die Reine und Angewandte Mathematik 635 (2009) 149–185.Google Scholar
[21] V., Paškūnas, ‘Coefficient systems and supersingular representations of GL2(F)’, Mémoires de la SMF, 99, (2004).Google Scholar
[22] V., PaškūnasOn some crystalline representations of GL2(ℚp)’, Algebra Number Theory 3 (2009), no. 4, 411–421.Google Scholar
[23] V., Paškūnas, ‘Extensions for supersingular representations of GL2(ℚp)’, Astérisque 331 (2010) 317–353.Google Scholar
[24] V., Paškūnas, ‘Admissible unitary completions of locally ℚp-rational representations of GL2(F)’, Represent. Theory 14 (2010), 324–354.Google Scholar
[25] V., Paškūnas, ‘The image of Colmez's Montreal functor’, to appear in Publ. Math. IHES. DOI: 10.1007/s10240-013-0049-y.
[26] P., Schneider and J., Teitelbaum, ‘Banach space representations and Iwasawa theory’, Israel J. Math. 127, (2002) 359–380.Google Scholar
[27] M.-F., Vignéras, ‘Representations modulo p of the p-adic group GL(2, F)’, Compositio Math. 140 (2004) 333–358.Google Scholar

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