Found 69 Documents (Results 1–69)
On a locally analytic local-global compatibility problem. (Sur un problème de compatibilité local-global localement analytique.) (French) Zbl 1540.22001
Memoirs of the American Mathematical Society 1442. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6547-6/pbk; 978-1-4704-7628-1/ebook). vii, 152 p. (2023).
Reviewer: Laurent Berger (Lyon)
Overconvergent Lubin-Tate \((\varphi,\Gamma)\)-modules for different uniformizers. (English) Zbl 1532.11067
Reviewer: Manouchehr Misaghian (Prairie View)
Local constancy for reductions of two-dimensional crystalline representations. (English. French summary) Zbl 1506.11084
Reviewer: Manouchehr Misaghian (Prairie View)
Formal groups and lifts of the field of norms. (English) Zbl 1515.11115
Reviewer: Manouchehr Misaghian (Prairie View)
Some explicit calculations of cohomology groups of \((\varphi,\Gamma)\)-modules. (English) Zbl 1521.22019
Multivariable \((\varphi ,\Gamma )\)-modules and representations of products of Galois groups: the case of the imperfect residue field. (\((\varphi ,\Gamma )\)-modules multivariables et représentations du produit du groupe de Galois : le cas des corps résiduels imparfaits.) (English. French summary) Zbl 1497.11283
Drinfeld’s lemma for perfectoid spaces and overconvergence of multivariate \((\varphi, \Gamma)\)-modules. (English) Zbl 1480.11151
MSC:
11S37
Dilogarithm and higher \(\mathscr{L} \)-invariants for \(\operatorname{GL}_3(\mathbb{Q}_p)\). (English) Zbl 1477.11110
\(p\)-adic heights and \(p\)-adic Hodge theory. (English. French summary) Zbl 1465.11207
Mém. Soc. Math. Fr., Nouv. Sér. 167, 1-135 (2020).
Loose crystalline lifts and overconvergence of étale \((\varphi,\tau)\)-modules. (English) Zbl 1469.11453
MSC:
11S20
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)
Supersingular Hecke modules as Galois representations. (English) Zbl 1436.11058
Reviewer: Lei Yang (Beijing)
MSC:
11F85
Etale \((\varphi, \Gamma)\)-modules with values in linear algebraic groups. (English) Zbl 1431.11001
Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, Fachbereich Mathematik und Informatik (Diss.). vi, 161 p. (2019).
A note on multivariable \((\varphi ,\Gamma )\)-modules. (English) Zbl 1472.11167
Reviewer: Andrzej Dąbrowski (Szczecin)
MSC:
11F80
From pro-\(p\) Iwahori-Hecke modules to \((\varphi,\Gamma)\)-modules. II. (English) Zbl 1469.11163
Reviewer: Yuval Z. Flicker (Ariel)
Arithmetic families of \((\varphi,\Gamma)\)-modules and locally analytic representations of \(\mathrm{GL}_2(\mathbb Q_p)\). (English) Zbl 1440.11217
de Rham \((\varphi,\Gamma)\)-modules and \(p\)-adic \(L\) functions. (\((\varphi,\Gamma)\)-modules de de Rham et fonctions \(L\) \(p\)-adiques.) (French. English summary) Zbl 1451.11132
Multivariable \((\varphi ,\Gamma )\)-modules and smooth \(o\)-torsion representations. (English) Zbl 1445.11138
Iwasawa theory and \(F\)-analytic Lubin-Tate \((\varphi,\Gamma)\)-modules. (English) Zbl 1390.11123
Reviewer: Thong Nguyen Quang Do (Besançon)
Paraboline variation over \(p\)-adic families of \((\varphi,\Gamma)\)-modules. (English) Zbl 1427.11047
A generalization of Kato’s local \(\varepsilon\)-conjecture for \((\varphi,\Gamma)\)-modules over the Robba ring. (English) Zbl 1431.11072
Reviewer: Lei Yang (Beijing)
Galois representations and \((\varphi, \Gamma)\)-modules. (English) Zbl 1383.11001
Cambridge Studies in Advanced Mathematics 164. Cambridge: Cambridge University Press (ISBN 978-1-107-18858-7/hbk; 978-1-316-98125-2/ebook). vii, 148 p. (2017).
Reviewer: Kevin Keating (Gainesville)
Multivariable \((\varphi ,\Gamma)\)-modules and locally analytic vectors. (English) Zbl 1395.11084
Reviewer: Liang Xiao (Storrs)
The \({\mathcal {L}}\)-invariant, the dual \({\mathcal{L}}\)-invariant, and families. (English. French summary) Zbl 1365.11066
Reviewer: Andrzej Dąbrowski (Szczecin)
MSC:
11F80
Locally analytic representations of \(\mathrm{GL}_2(\mathbb{Q}_p)\) and \((\varphi ,\Gamma)\)-modules. (Représentations localement analytiques de \(\mathrm{GL}_2(\mathbb{Q}_p)\) et \((\varphi ,\Gamma)\)-modules.) (French. English summary) Zbl 1354.22021
Reviewer: Andrzej Dąbrowski (Szczecin)
New methods for \((\varphi, \Gamma)\)-modules. (English) Zbl 1387.11087
Res. Math. Sci. 2, Paper No. 20, 31 p. (2015); erratum ibid. 2, Paper No. 25, 1 p. (2015).
Reviewer: Laurent Berger (Lyon)
Locally algebraic automorphisms of the \(\mathrm{PGL}_2(F)\)-tree and \(\mathfrak{o}\)-torsion representations. (Automorphismes localement algébriques de l’arbre de \(\mathrm{PGL}_2(F)\) et représentations de \(\mathfrak o\)-torsion.) (English. French summary) Zbl 1353.22009
Reviewer: J. G. M. Mars (Utrecht)
Extensions of de Rham representations and locally algebraic vectors. (Extensions de représentations de de Rham et vecteurs localement algébriques.) (French. English summary) Zbl 1341.11025
Reviewer: Anne-Marie Aubert (Paris)
Relative \(p\)-adic Hodge theory: foundations. (English) Zbl 1370.14025
Astérisque 371. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-807-7/pbk). 239 p. (2015).
Reviewer: Laurent Berger (Lyon)
From étale \(P_+\)-representations to \(G\)-equivariant sheaves on \(G/P\). (English) Zbl 1360.11131
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 2. Cambridge: Cambridge University Press (ISBN 978-1-107-69363-0/pbk; 978-1-107-29752-4/ebook). London Mathematical Society Lecture Note Series 415, 248-366 (2014).
\(p\)-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).
Unitary principal series for \(\mathrm{GL}_2(\mathbb Q_p)\): locally analytic vectors. (La série principale unitaire de \(\mathrm{GL}_2(\mathbb Q_p)\): vecteurs localement analytiques.) (French. English summary) Zbl 1377.11069
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, 286-358 (2014).
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).
Lifting the field of norms. (Relèvement du corps des normes.) (English. French summary) Zbl 1317.11121
Reviewer: Ivan D. Chipchakov (Sofia)
The \(p\)-adic local Langlands correspondence for \(\mathrm{GL}_2(\mathbb{Q}_p)\). (English) Zbl 1312.11090
Reviewer: Dubravka Ban (Carbondale)
Trivial zeros of \(p\)-adic \(L\)-functions at near-central points. (English) Zbl 1307.11116
Reviewer: Thong Nguyen Quang Do (Besançon)
Iwasawa theory of de Rham \((\varphi ,\Gamma)\)-modules over the Robba ring. (English) Zbl 1296.11054
Reviewer: Eugen Hellmann (Bonn)
Lectures on \(p\)-adic zeta functions and \((\phi,\Gamma)\)-modules. (English) Zbl 1320.11113
Ouyang, Yi (ed.) et al., Number theory and related areas. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-273-2/pbk). Advanced Lectures in Mathematics (ALM) 27, 85-147 (2013).
Iwasawa’s theory of de Rham \((\varphi, \Gamma)\)-modules over the Robba ring. (Japanese. English summary) Zbl 1355.11066
Multivariable Lubin-Tate (\(\varphi, \Gamma\))-modules and filtered \(\varphi-\)modules. (English) Zbl 1319.11030
Reviewer: Kâzım Büyükboduk (Istanbul)
Analytic families of finite-slope Selmer groups. (English) Zbl 1370.11123
Reviewer: Thong Nguyen Quang Do (Besançon)
\(\mathcal L\)-invariant of the adjoint Galois representation of modular forms of finite slope. (English) Zbl 1267.11050
Reviewer: Andrzej Dąbrowski (Szczecin)
Locally analytic vectors of unitary principal series of \(\mathrm{GL}_2(\mathbb Q_p)\). (Vecteurs localement analytiques des séries principales de \(\mathrm{GL}_2(\mathbb Q_p)\).) (English. French summary) Zbl 1320.11112
Reviewer: Andrzej Dąbrowski (Szczecin)
Locally analytic vectors of some crystabelian representations of \(\mathrm{GL}_{2}(\mathbb Q_p)\). (English) Zbl 1267.11059
Reviewer: Andrzej Dąbrowski (Szczecin)
A generalization of Greenberg’s \(\mathcal L\)-invariant. (English) Zbl 1307.11079
Reviewer: Andrzej Dąbrowski (Szczecin)
The emerging \(p\)-adic Langlands programme. (English) Zbl 1368.11123
Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. II: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-32-8/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 203-230 (2011).
Extensions of rank one \((\varphi ,\Gamma )\)-modules and crystalline representations. (English) Zbl 1235.11105
Reviewer: Boris Kunyavskii (Ramat Gan)
MSC:
11S25
Infinitesimal deformations and the \(\ell\)-invariant. (English) Zbl 1235.11098
Reviewer: Thong Nguyen Quang Do (Besançon)
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)
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)
\((\varphi,\Gamma)\)-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)
On some modular representations of the Borel subgroup of \(\text{GL}_{2}(\mathbb Q_p)\). (English) Zbl 1219.11079
Reviewer: Andrzej Dąbrowski (Szczecin)
Almost \(\mathbb C_p\)-representations and \((\varphi,\Gamma)\)-modules. (Presque \(\mathbb C_p\)-représentations et \((\varphi,\varGamma)\)-modules.) (French) Zbl 1275.11092
Construction of \((\phi,\Gamma)\)-modules: \(p\)-adic representations and \(B\)-pairs. (Construction de \((\phi,\Gamma)\)-modules: représentations \(p\)-adiques et \(B\)-paires.) (English) Zbl 1219.11078
Iwasawa theory of crystalline representations. II. (Théorie d’Iwasawa des représentations cristallines. II.) (French) Zbl 1157.11041
Reviewer: Thong Nguyen Quang Do (Besançon)
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