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Found 107 Documents (Results 1–100)

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Berger, Laurent; Schneider, Peter; Xie, Bingyong
Rigid character groups, Lubin-Tate theory, and \((\varphi,\Gamma\))-modules. (English) Zbl 1448.11209
Memoirs of the American Mathematical Society 1275. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4073-2/pbk; 978-1-4704-5658-0/ebook). v, 79 p. (2020).
Reviewer: Anatoly N. Kochubei (Kyïv)
MSC:  11S37 11S31 14G22 22E50 46S10
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\textit{L. Berger} et al., Rigid character groups, Lubin-Tate theory, and \((\varphi,\Gamma\))-modules. Providence, RI: American Mathematical Society (AMS) (2020; Zbl 1448.11209)
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Moussaoui, Ahmed
Proof of the Aubert-Baum-Plymen-Solleveld conjecture for split classical groups. (English) Zbl 1388.22016
Brumley, Farrell (ed.) et al., Around Langlands correspondences. International conference, Université Paris Sud, Orsay, France, June 17–20, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3573-8/pbk; 978-1-4704-4117-3/ebook). Contemporary Mathematics 691, 257-281 (2017).
Reviewer: Ivan Matić (Osijek)
MSC:  22E50 11R39 20C33 11F85
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\textit{A. Moussaoui}, Contemp. Math. 691, 257--281 (2017; Zbl 1388.22016)
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Dospinescu, Gabriel; Le Bras, Arthur-César
Coverings of Drinfeld’s half-plane and the \(p\)-adic Langlands correspondence. (Revêtements du demi-plan de Drinfeld et correspondance de Langlands \(p\)-adique.) (French. English summary) Zbl 1390.11127
Ann. Math. (2) 186, No. 2, 321-411 (2017).
Reviewer: J. G. M. Mars (Utrecht)
MSC:  11S37 11F85 22E50 14G20
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\textit{G. Dospinescu} and \textit{A.-C. Le Bras}, Ann. Math. (2) 186, No. 2, 321--411 (2017; Zbl 1390.11127)
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Kozioł, Karol
A classification of the irreducible mod-\(p\) representations of \(U(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)\). (Une classification des représentations irréductibles modulo \(p\) de \(U(1,1)(\mathbb{Q}_{p^2}/\mathbb{Q}_p)\).) (English. French summary) Zbl 1364.22007
Ann. Inst. Fourier 66, No. 4, 1545-1582 (2016).
Reviewer: Andrzej Dąbrowski (Szczecin)
MSC:  22E50 11F80 11F85
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\textit{K. Kozioł}, Ann. Inst. Fourier 66, No. 4, 1545--1582 (2016; Zbl 1364.22007)
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Herzig, Florian
\(p\)-modular representations of \(p\)-adic groups. (English) Zbl 1356.22017
Gan, Wee Teck (ed.) et al., Modular representation theory of finite and \(p\)-adic groups. Hackensack, NJ: World Scientific (ISBN 978-981-4651-80-6/hbk; 978-981-4651-82-0/ebook). Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 30, 73-108 (2015).
Reviewer: Andrzej Dąbrowski (Szczecin)
MSC:  22E50 11S37
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\textit{F. Herzig}, Lect. Notes Ser., Inst. Math. Sci., Natl. Univ. Singap. 30, 73--108 (2015; Zbl 1356.22017)
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Sorensen, Claus M.
The Breuil-Schneider conjecture: a survey. (English) Zbl 1383.11077
Alaca, Ayşe (ed.) et al., Advances in the theory of numbers. Proceedings of the thirteenth conference of the Canadian Number Theory Association, CNTA, Ottawa, Canada, June 16–20, 2014. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer (ISBN 978-1-4939-3200-9/hbk; 978-1-4939-3201-6/ebook). Fields Institute Communications 77, 219-235 (2015).
MSC:  11F85 11S37 14F30 11-02
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\textit{C. M. Sorensen}, Fields Inst. Commun. 77, 219--235 (2015; Zbl 1383.11077)
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Hu, Yongquan; Tan, Fucheng
The Breuil-Mézard conjecture for non-scalar split residual representations. (La conjecture de Breuil-Mézard pour les représentations résiduelles scindées non scalaires.) (English. French summary) Zbl 1334.11041
Ann. Sci. Éc. Norm. Supér. (4) 48, No. 6, 1383-1421 (2015).
Reviewer: Shuyang Cheng (Chicago)
MSC:  11F80 11S37 11F85 22E50
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\textit{Y. Hu} and \textit{F. Tan}, Ann. Sci. Éc. Norm. Supér. (4) 48, No. 6, 1383--1421 (2015; Zbl 1334.11041)
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Dospinescu, Gabriel
\(p\)-adic differential equations and analytic Jacquet modules. (Equations différentielles \(p\)-adiques et modules de Jacquet analytiques.) (French. English summary) Zbl 1377.11070
Diamond, Fred (ed.) et al., Automorphic forms and Galois representations. Proceedings of the 94th London Mathematical Society (LMS) – EPSRC Durham symposium, Durham, UK, July 18–28, 2011. Volume 1. Cambridge: Cambridge University Press (ISBN 978-1-107-69192-6/pbk; 978-1-107-44633-5/ebook). London Mathematical Society Lecture Note Series 414, 359-374 (2014).
MSC:  11F85 12H25 11F70 11S23
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\textit{G. Dospinescu}, Lond. Math. Soc. Lect. Note Ser. 414, 359--374 (2014; Zbl 1377.11070)
Berger, Laurent; Vienney, Mathieu
Irreducible modular representations of the Borel subgroup of \(\text{GL}_2({\mathbb Q}_p)\). (English) Zbl 1377.11068
Diamond, Fred (ed.) et al., Automorphic forms and Galois representations. Proceedings of the 94th London Mathematical Society (LMS) – EPSRC Durham symposium, Durham, UK, July 18–28, 2011. Volume 1. Cambridge: Cambridge University Press (ISBN 978-1-107-69192-6/pbk; 978-1-107-44633-5/ebook). London Mathematical Society Lecture Note Series 414, 32-51 (2014).
MSC:  11F85 22E50 11F70
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\textit{L. Berger} and \textit{M. Vienney}, Lond. Math. Soc. Lect. Note Ser. 414, 32--51 (2014; Zbl 1377.11068)
Emerton, Matthew; Helm, David
The local Langlands correspondence for \(\mathrm{GL}_n\) in families. (La correspondance de Langlands local pour \(GL_n\) dans les familles.) (English. French summary) Zbl 1321.11055
Ann. Sci. Éc. Norm. Supér. (4) 47, No. 4, 655-722 (2014).
Reviewer: L. N. Vaserstein (University Park)
MSC:  11F70 11S37 11F33 22E50
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\textit{M. Emerton} and \textit{D. Helm}, Ann. Sci. Éc. Norm. Supér. (4) 47, No. 4, 655--722 (2014; Zbl 1321.11055)
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Breuil, Christophe
Remarks on some locally \(\mathbb Q_p\)-analytic representations of \(\mathrm{GL}_2(F)\) in the crystalline case. (English) Zbl 1312.11045
Coates, John (ed.) et al., Non-abelian fundamental groups and Iwasawa theory. Cambridge: Cambridge University Press (ISBN 978-1-107-64885-2/pbk). London Mathematical Society Lecture Note Series 393, 212-238 (2012).
Reviewer: Xiao Liang (Storrs)
MSC:  11F80 22E50
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\textit{C. Breuil}, Lond. Math. Soc. Lect. Note Ser. 393, 212--238 (2012; Zbl 1312.11045)
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Schneider, Peter; Vignéras, Marie-France
A functor from smooth \(o\)-torsion representations to \((\varphi,\Gamma)\)-modules. (English) Zbl 1278.11061
Arthur, James (ed.) et al., On certain \(L\)-functions. Conference on certain \(L\)-functions in honor of Freydoon Shahidi on the occasion of his 60th birthday, West Lafayette, IN, USA July 23–27, 2007. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-5204-0/pbk). Clay Mathematics Proceedings 13, 525-601 (2011).
Reviewer: Andrzej Dąbrowski (Szczecin)
MSC:  11F80 11S37 22E50
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\textit{P. Schneider} and \textit{M.-F. Vignéras}, Clay Math. Proc. 13, 525--601 (2011; Zbl 1278.11061)
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Breuil, Christophe; Emerton, Matthew
Ordinary \(p\)-adic representations of \(\text{GL}_2 (\mathbb Q_p)\) and local-global compatibility. (Représentations \(p\)-adiques ordinaires de \(\text{GL}_2 (\mathbb Q_p)\) et compatibilité local-global.) (French. English summary) Zbl 1251.11043
Berger, Laurent (ed.) et al., Représentations \(p\)-adiques de groupes \(p\)-adiques III: Méthodes globales et géométriques. Paris: Société Mathématique de France (ISBN 978-2-85629-282-2/pbk). Astérisque 331, 255-315 (2010).
Reviewer: Andrzej Dąbrowski (Szczecin)
MSC:  11F80 22E50 11F70
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\textit{C. Breuil} and \textit{M. Emerton}, Astérisque 331, 255--315 (2010; Zbl 1251.11043)
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Breuil, Christophe; Mézard, Ariane
Semi-stable representations of \(\text{GL}_2(\mathbb Q_p)\)-adic half-plane and modulo \(p\) reduction. (Représentations semi-stables de \(\text{GL}_2(\mathbb Q_p)\), demi-plan \(p\)-adique et réduction modulo \(p\).) (French. English summary) Zbl 1271.11106
Berger, Laurent (ed.) et al., Représentations \(p\)-adiques de groupes \(p\)-adiques III: Méthodes globales et géométriques. Paris: Société Mathématique de France (ISBN 978-2-85629-282-2/pbk). Astérisque 331, 117-178 (2010).
Reviewer: Andrzej Dąbrowski (Szczecin)
MSC:  11S37 22E50 11F80
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\textit{C. Breuil} and \textit{A. Mézard}, Astérisque 331, 117--178 (2010; Zbl 1271.11106)
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Berger, Laurent
Modular representations of \(\text{GL}_2(\mathbb Q_p)\) and 2-dimensional Galois representations. (Représentations modulaires de \(\text{GL}_2(\mathbb Q_p)\) et représentations galoisiennes de dimension 2.) (English. French summary) Zbl 1233.11060
Berger, Laurent (ed.) et al., Représentations \(p\)-adiques de groupes \(p\)-adiques II: Représentations de \(\text{GL}_2 (\mathbb Q_p)\) et \((\varphi, \gamma)\)-modules. Paris: Société Mathématique de France (ISBN 978-2-85629-281-5/pbk). Astérisque 330, 263-279 (2010).
Reviewer: Andrzej Dąbrowski (Szczecin)
MSC:  11F80 11F33 11F85 22E50
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\textit{L. Berger}, Astérisque 330, 263--279 (2010; Zbl 1233.11060)
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Berger, Laurent; Breuil, Christophe
On some potentially crystalline representations of \(\text{GL}_2 (\mathbb Q_p)\). (Sur quelques représentations potentiellement cristallines de \(\text{GL}_2 (\mathbb Q_p)\).) (French. English summary) Zbl 1243.11063
Berger, Laurent (ed.) et al., Représentations \(p\)-adiques de groupes \(p\)-adiques II: Représentations de \(\text{GL}_2 (\mathbb Q_p)\) et \((\varphi, \gamma)\)-modules. Paris: Société Mathématique de France (ISBN 978-2-85629-281-5/pbk). Astérisque 330, 155-211 (2010).
Reviewer: Anne-Marie Aubert (Paris)
MSC:  11F70 11S37 22E50
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\textit{L. Berger} and \textit{C. Breuil}, Astérisque 330, 155--211 (2010; Zbl 1243.11063)
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Colmez, Pierre
\((\varphi,\Gamma)\)-modules and representations of the mirabolic group of \(\text{GL}_2(\mathbb Q_p))\). (\((\varphi,\Gamma)\)-modules et représentations du mirabolique de \(\text{GL}_2(\mathbb Q_p))\).) (French) Zbl 1235.11107
Berger, Laurent (ed.) et al., Représentations \(p\)-adiques de groupes \(p\)-adiques II: Représentations de \(\text{GL}_2 (\mathbb Q_p)\) et \((\varphi, \gamma)\)-modules. Paris: Société Mathématique de France (ISBN 978-2-85629-281-5/pbk). Astérisque 330, 61-153 (2010).
Reviewer: David Loeffler (Coventry)
MSC:  11S37 11S20 11S25 22E50
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\textit{P. Colmez}, Astérisque 330, 61--153 (2010; Zbl 1235.11107)
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Dat, Jean-François; Orlik, Sascha; Rapoport, Michael
Period domains over finite and \(p\)-adic fields. (English) Zbl 1206.14001
Cambridge Tracts in Mathematics 183. Cambridge: Cambridge University Press (ISBN 978-0-521-19769-4/hbk). xxii, 372 p. (2010).
Reviewer: Elmar Große-Klönne (Berlin)
MSC:  14-02 14D10 14D20 14D24 14F30 14G15 14G20 14G22 14L05 14L24 11F55
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\textit{J.-F. Dat} et al., Period domains over finite and \(p\)-adic fields. Cambridge: Cambridge University Press (2010; Zbl 1206.14001)
Fargues, Laurent; Genestier, Alain; Lafforgue, Vincent
The isomorphism between Lubin-Tate and Drinfeld towers. (L’isomorphisme entre les tours de Lubin-Tate et de Drinfeld.) (French) Zbl 1136.14001
Progress in Mathematics 262. Basel: Birkhäuser (ISBN 978-3-7643-8455-5/hbk). xii, 406 p. (2008).
Reviewer: Elmar Große-Klönne (Berlin)
MSC:  14-02 11-02 14L05 11F85 11S31 11R39 14G22 14G35
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\textit{L. Fargues} et al., L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld. Basel: Birkhäuser (2008; Zbl 1136.14001)
Vignéras, Marie-France
Irreducible representations of \(\mathrm{GL}(2,F)\) modulo \(p\). (Représentations irréductibles de \(\mathrm{GL}(2,F)\) modulo \(p\).) (French. English summary) Zbl 1172.11017
Burns, David (ed.) et al., \(L\)-functions and Galois representations. Based on the symposium, Durham, UK, July 19–30, 2004. Cambridge: Cambridge University Press (ISBN 978-0-521-69415-5/pbk). London Mathematical Society Lecture Note Series 320, 548-563 (2007).
Reviewer: Jeffrey Adler (Washington)
MSC:  11F70 22E50 11S37
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\textit{M.-F. Vignéras}, Lond. Math. Soc. Lect. Note Ser. 320, 548--563 (2007; Zbl 1172.11017)
Mézard, Ariane
Introduction to the local Langlands correspondence. (Introduction à la correspondance de Langlands locale.) (French. English summary) Zbl 1136.11073
Nyssen, Louise (ed.), Physics and number theory. Zürich: European Mathematical Society Publishing House (ISBN 3-03719-028-0/pbk). IRMA Lectures in Mathematics and Theoretical Physics 10, 253-265 (2006).
Reviewer: Marc-Hubert Nicole (Paris)
MSC:  11S37 11F80 22E50
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\textit{A. Mézard}, IRMA Lect. Math. Theor. Phys. 10, 253--265 (2006; Zbl 1136.11073)
Vignéras, Marie-France
The local Langlands conjecture for \(\text{GL}(n,F)\) modulo \(\ell\), when \(\ell\neq p\), \(\ell> n\). (La conjecture de Langlands locale pour \(\text{GL}(n,F)\) modulo \(\ell\) quand \(\ell\neq p\), \(\ell> n\).) (French) Zbl 1013.11080
Ann. Sci. Éc. Norm. Supér. (4) 34, No. 6, 789-816 (2001).
Reviewer: Jeffrey Adler (Akron)
MSC:  11S37 22E50 11F70
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\textit{M.-F. Vignéras}, Ann. Sci. Éc. Norm. Supér. (4) 34, No. 6, 789--816 (2001; Zbl 1013.11080)
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Féaux de Lacroix, Christian Tobias
Some results on the topological representations of \(p\)-adic Lie groups on infinite dimensional vector spaces over a \(p\)-adic field. (Einige Resultate über die topologischen Darstellungen \(p\)-adischer Liegruppen auf unendlich dimensionalen Vektorräumen über einem \(p\)-adischen Körper.) (German) Zbl 0963.22009
Schriftenreihe des Mathematischen Instituts der Universität Münster. 3. Serie, 23. Münster: Univ. Münster, Mathematisches Institut, i-vii, 1-111 (1999).
Reviewer: Volker J.Heiermann (MR 2000k:22021)
MSC:  22E50 22E35
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\textit{C. T. Féaux de Lacroix}, in: Schriftenreihe des Mathematischen Instituts der Universität Münster. 3. Serie, 23. Münster: Univ. Münster, Mathematisches Institut. i-vii, 1--111 (1999; Zbl 0963.22009)
Kapranov, M. M.
Analogies between the Langlands correspondence and topological quantum field theory. (English) Zbl 0858.11062
Gindikin, Simon (ed.) et al., Functional analysis on the eve of the 21st century. Volume I. In honor of the eightieth birthday of I. M. Gelfand. Proceedings of the conference, held at Rutgers University, New Brunswick, NJ, October 24-27, 1993. Boston, MA: Birkhäuser. Prog. Math. 131, 119-151 (1995).
Reviewer: W.W.J.Hulsbergen (Haarlem)
MSC:  11S37 81T40 11S31 19D45 14F45
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\textit{M. M. Kapranov}, Prog. Math. 131, 119--151 (1995; Zbl 0858.11062)

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