Edit Profile (opens in new tab) Berger, Laurent Co-Author Distance Author ID: berger.laurent Published as: Berger, Laurent Homepage: http://perso.ens-lyon.fr/laurent.berger/ External Links: MGP · ORCID · Wikidata · Google Scholar · MathOverflow · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 52 Publications since 2000, including 1 Book and 13 Additional arXiv Preprints 3 Contributions as Editor · 1 Further Contribution Reviewing Activity: 64 Reviews Co-Authors: 13 Co-Authors with 20 Joint Publications 144 Co-Co-Authors all top 5 Co-Authors 35 single-authored 7 Breuil, Christophe 5 Colmez, Pierre 2 Ardakov, Konstantin 2 Rozensztajn, Sandra 1 Benois, Denis 1 Böckle, Gebhard 1 Chenevier, Gaëtan 1 Darmon, Henri René 1 Dembélé, Lassina 1 Di Matteo, Giovanni 1 Diamond, Fred 1 Dieulefait, Luis Victor 1 Dimitrov, Mladen 1 Dokchitser, Tim 1 Edixhoven, Sebastiaan Johan 1 Fourquaux, Lionel 1 Li, Hanfeng 1 Rotger, Victor 1 Schneider, Peter 1 Vienney, Mathieu 1 Voight, John Michael 1 Xie, Bingyong 1 Zhu, Hui June all top 5 Serials 3 Astérisque 2 Bulletin of the London Mathematical Society 2 Compositio Mathematica 2 Documenta Mathematica 2 International Journal of Number Theory 2 Algebra & Number Theory 2 Annales Mathématiques du Québec 1 Acta Arithmetica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin de la Société Mathématique de France 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Gazette des Mathématiciens 1 Inventiones Mathematicae 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Bulletin of the American Mathematical Society. New Series 1 Journal de Théorie des Nombres de Bordeaux 1 Mathematical Research Letters 1 Journal of the Institute of Mathematics of Jussieu 1 Münster Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Advanced Courses in Mathematics – CRM Barcelona 1 Annales Henri Lebesgue all top 5 Fields 50 Number theory (11-XX) 24 Algebraic geometry (14-XX) 14 Commutative algebra (13-XX) 14 Topological groups, Lie groups (22-XX) 10 Field theory and polynomials (12-XX) 5 General and overarching topics; collections (00-XX) 4 Functional analysis (46-XX) 2 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 628 times in 324 Documents Cited by ▼ Year ▼ \(p\)-adic representations and differential equations. (Représentations \(p\)-adiques et équations différentielles.) Zbl 1113.14016 Berger, Laurent 99 2002 Limits of crystalline representations. (Limites de représentations cristallines.) Zbl 1071.11067 Berger, Laurent 51 2004 Families of de Rham representations and \(p\)-adic monodromy. (Familles de représentations de de Rham et monodromie \(p\)-adique.) Zbl 1168.11020 Berger, Laurent; Colmez, Pierre 48 2008 Construction of some families of 2-dimensional crystalline representations. Zbl 1085.11028 Berger, Laurent; Li, Hanfeng; Zhu, Hui June 40 2004 \(p\)-adic differential equations and filtered \((\varphi, N)\)-modules. (Équations différentielles \(p\)-adiques et \((\varphi, N)\)-modules filtrés.) Zbl 1168.11019 Berger, Laurent 38 2008 On some potentially crystalline representations of \(\text{GL}_2 (\mathbb Q_p)\). (Sur quelques représentations potentiellement cristallines de \(\text{GL}_2 (\mathbb Q_p)\).) Zbl 1243.11063 Berger, Laurent; Breuil, Christophe 37 2010 Bloch and Kato’s exponential map: three explicit formulas. Zbl 1064.11077 Berger, Laurent 28 2003 An introduction to the theory of \(p\)-adic representations. Zbl 1118.11028 Berger, Laurent 28 2004 Multivariable \((\varphi ,\Gamma)\)-modules and locally analytic vectors. Zbl 1395.11084 Berger, Laurent 27 2016 Construction of \((\phi,\Gamma)\)-modules: \(p\)-adic representations and \(B\)-pairs. (Construction de \((\phi,\Gamma)\)-modules: représentations \(p\)-adiques et \(B\)-paires.) Zbl 1219.11078 Berger, Laurent 26 2008 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.) Zbl 1233.11060 Berger, Laurent 21 2010 Iwasawa theory of crystalline representations. II. (Théorie d’Iwasawa des représentations cristallines. II.) Zbl 1157.11041 Benois, Denis; Berger, Laurent 20 2008 Sen theory and locally analytic vectors. (Théorie de Sen et vecteurs localement analytiques.) Zbl 1396.11130 Berger, Laurent; Colmez, Pierre 15 2016 The \(p\)-adic local Langlands correspondence for \(\mathrm{GL}_2({\mathbb Q}_p)\). (La correspondance de Langlands locale \(p\)-adique pour \(\mathrm{GL}_2({\mathbb Q}_p)\).) Zbl 1356.11082 Berger, Laurent 14 2011 \(p\)-adic representations of \(p\)-adic groups I. Galois representations and \((\varphi, \Gamma)\)-modules. (Représentation \(p\)-adiques de groupes \(p\)-adiques I. Représentations galoisiennes et \((\varphi, \Gamma)\)-modules.) Zbl 1156.14002 14 2008 Local constancy for the reduction mod \(p\) of 2-dimensional crystalline representations. Zbl 1279.11046 Berger, Laurent 11 2012 Central characters for smooth irreducible modular representations of \(\operatorname{GL}_2(\mathbb Q_p)\). Zbl 1266.22018 Berger, Laurent 11 2012 Iwasawa theory and \(F\)-analytic Lubin-Tate \((\varphi,\Gamma)\)-modules. Zbl 1390.11123 Berger, Laurent; Fourquaux, Lionel 9 2017 Multivariable Lubin-Tate (\(\varphi, \Gamma\))-modules and filtered \(\varphi-\)modules. Zbl 1319.11030 Berger, Laurent 9 2013 Rigid character groups, Lubin-Tate theory, and \((\varphi,\Gamma\))-modules. Zbl 1448.11209 Berger, Laurent; Schneider, Peter; Xie, Bingyong 9 2020 Trianguline representations. Zbl 1236.11053 Berger, Laurent 9 2011 \(p\)-adic representations of \(p\)-adic groups II: Representations of \(\text{GL}_2 (\mathbb Q_p)\) et \((\varphi, \Gamma)\)-modules. (Représentations \(p\)-adiques de groupes \(p\)-adiques II: Représentations de \(\text{GL}_2 (\mathbb Q_p)\) et \((\varphi, \Gamma)\)-modules.) Zbl 1192.11001 9 2010 On some modular representations of the Borel subgroup of \(\text{GL}_{2}(\mathbb Q_p)\). Zbl 1219.11079 Berger, Laurent 6 2010 Lifting the field of norms. (Relèvement du corps des normes.) Zbl 1317.11121 Berger, Laurent 5 2014 de Rham representations and universal norms. (Représentations de de Rham et normes universelles.) Zbl 1122.11036 Berger, Laurent 5 2005 2-dimensional potentially trianguline representations. (Représentations potentiellement triangulines de dimension 2.) Zbl 1267.11064 Berger, Laurent; Chenevier, Gaëtan 5 2010 Iterated extensions and relative Lubin-Tate groups. Zbl 1360.11130 Berger, Laurent 4 2016 \(p\)-adic representations of \(p\)-adic groups III: Global and geometric methods. (Représentations \(p\)-adiques de groupes \(p\)-adiques III: Méthodes globales et géométriques.) Zbl 1192.11002 4 2010 Lubin’s conjecture for full \(p\)-adic dynamical systems. Zbl 1429.11208 Berger, Laurent 3 2017 Almost \(\mathbb C_p\)-representations and \((\varphi,\Gamma)\)-modules. (Presque \(\mathbb C_p\)-représentations et \((\varphi,\varGamma)\)-modules.) Zbl 1275.11092 Berger, Laurent 3 2009 Irreducible modular representations of the Borel subgroup of \(\text{GL}_2({\mathbb Q}_p)\). Zbl 1377.11068 Berger, Laurent; Vienney, Mathieu 2 2014 Rigidity and unlikely intersections for formal groups. Zbl 1519.11066 Berger, Laurent 2 2020 Nonarchimedean dynamical systems and formal groups. Zbl 1429.11209 Berger, Laurent 2 2019 Decompletion of cyclotomic perfectoid fields in positive characteristic. (Décomplétion de corps perfectoïdes cyclotomiques en caractéristique positive.) Zbl 1522.11121 Berger, Laurent; Rozensztajn, Sandra 2 2022 On \(p\)-adic Galois representations. Zbl 1392.11030 Berger, Laurent 1 2013 The Weierstrass preparation theorem and resultants of \(p\)-adic power series. Zbl 1464.11122 Berger, Laurent 1 2021 On triangulable tensor products of \(B\)-pairs and trianguline representations. Zbl 1487.14052 Berger, Laurent; Di Matteo, Giovanni 1 2021 Book review of: K. S. Kedlaya, \(p\)-adic differential equations. Zbl 1300.00010 Berger, Laurent 1 2012 Elliptic curves, Hilbert modular forms and Galois deformations. Zbl 1276.11004 1 2013 Decompletion of cyclotomic perfectoid fields in positive characteristic. (Décomplétion de corps perfectoïdes cyclotomiques en caractéristique positive.) Zbl 1522.11121 Berger, Laurent; Rozensztajn, Sandra 2 2022 The Weierstrass preparation theorem and resultants of \(p\)-adic power series. Zbl 1464.11122 Berger, Laurent 1 2021 On triangulable tensor products of \(B\)-pairs and trianguline representations. Zbl 1487.14052 Berger, Laurent; Di Matteo, Giovanni 1 2021 Rigid character groups, Lubin-Tate theory, and \((\varphi,\Gamma\))-modules. Zbl 1448.11209 Berger, Laurent; Schneider, Peter; Xie, Bingyong 9 2020 Rigidity and unlikely intersections for formal groups. Zbl 1519.11066 Berger, Laurent 2 2020 Nonarchimedean dynamical systems and formal groups. Zbl 1429.11209 Berger, Laurent 2 2019 Iwasawa theory and \(F\)-analytic Lubin-Tate \((\varphi,\Gamma)\)-modules. Zbl 1390.11123 Berger, Laurent; Fourquaux, Lionel 9 2017 Lubin’s conjecture for full \(p\)-adic dynamical systems. Zbl 1429.11208 Berger, Laurent 3 2017 Multivariable \((\varphi ,\Gamma)\)-modules and locally analytic vectors. Zbl 1395.11084 Berger, Laurent 27 2016 Sen theory and locally analytic vectors. (Théorie de Sen et vecteurs localement analytiques.) Zbl 1396.11130 Berger, Laurent; Colmez, Pierre 15 2016 Iterated extensions and relative Lubin-Tate groups. Zbl 1360.11130 Berger, Laurent 4 2016 Lifting the field of norms. (Relèvement du corps des normes.) Zbl 1317.11121 Berger, Laurent 5 2014 Irreducible modular representations of the Borel subgroup of \(\text{GL}_2({\mathbb Q}_p)\). Zbl 1377.11068 Berger, Laurent; Vienney, Mathieu 2 2014 Multivariable Lubin-Tate (\(\varphi, \Gamma\))-modules and filtered \(\varphi-\)modules. Zbl 1319.11030 Berger, Laurent 9 2013 On \(p\)-adic Galois representations. Zbl 1392.11030 Berger, Laurent 1 2013 Elliptic curves, Hilbert modular forms and Galois deformations. Zbl 1276.11004 1 2013 Local constancy for the reduction mod \(p\) of 2-dimensional crystalline representations. Zbl 1279.11046 Berger, Laurent 11 2012 Central characters for smooth irreducible modular representations of \(\operatorname{GL}_2(\mathbb Q_p)\). Zbl 1266.22018 Berger, Laurent 11 2012 Book review of: K. S. Kedlaya, \(p\)-adic differential equations. Zbl 1300.00010 Berger, Laurent 1 2012 The \(p\)-adic local Langlands correspondence for \(\mathrm{GL}_2({\mathbb Q}_p)\). (La correspondance de Langlands locale \(p\)-adique pour \(\mathrm{GL}_2({\mathbb Q}_p)\).) Zbl 1356.11082 Berger, Laurent 14 2011 Trianguline representations. Zbl 1236.11053 Berger, Laurent 9 2011 On some potentially crystalline representations of \(\text{GL}_2 (\mathbb Q_p)\). (Sur quelques représentations potentiellement cristallines de \(\text{GL}_2 (\mathbb Q_p)\).) Zbl 1243.11063 Berger, Laurent; Breuil, Christophe 37 2010 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.) Zbl 1233.11060 Berger, Laurent 21 2010 \(p\)-adic representations of \(p\)-adic groups II: Representations of \(\text{GL}_2 (\mathbb Q_p)\) et \((\varphi, \Gamma)\)-modules. (Représentations \(p\)-adiques de groupes \(p\)-adiques II: Représentations de \(\text{GL}_2 (\mathbb Q_p)\) et \((\varphi, \Gamma)\)-modules.) Zbl 1192.11001 9 2010 On some modular representations of the Borel subgroup of \(\text{GL}_{2}(\mathbb Q_p)\). Zbl 1219.11079 Berger, Laurent 6 2010 2-dimensional potentially trianguline representations. (Représentations potentiellement triangulines de dimension 2.) Zbl 1267.11064 Berger, Laurent; Chenevier, Gaëtan 5 2010 \(p\)-adic representations of \(p\)-adic groups III: Global and geometric methods. (Représentations \(p\)-adiques de groupes \(p\)-adiques III: Méthodes globales et géométriques.) Zbl 1192.11002 4 2010 Almost \(\mathbb C_p\)-representations and \((\varphi,\Gamma)\)-modules. (Presque \(\mathbb C_p\)-représentations et \((\varphi,\varGamma)\)-modules.) Zbl 1275.11092 Berger, Laurent 3 2009 Families of de Rham representations and \(p\)-adic monodromy. (Familles de représentations de de Rham et monodromie \(p\)-adique.) Zbl 1168.11020 Berger, Laurent; Colmez, Pierre 48 2008 \(p\)-adic differential equations and filtered \((\varphi, N)\)-modules. (Équations différentielles \(p\)-adiques et \((\varphi, N)\)-modules filtrés.) Zbl 1168.11019 Berger, Laurent 38 2008 Construction of \((\phi,\Gamma)\)-modules: \(p\)-adic representations and \(B\)-pairs. (Construction de \((\phi,\Gamma)\)-modules: représentations \(p\)-adiques et \(B\)-paires.) Zbl 1219.11078 Berger, Laurent 26 2008 Iwasawa theory of crystalline representations. II. (Théorie d’Iwasawa des représentations cristallines. II.) Zbl 1157.11041 Benois, Denis; Berger, Laurent 20 2008 \(p\)-adic representations of \(p\)-adic groups I. Galois representations and \((\varphi, \Gamma)\)-modules. (Représentation \(p\)-adiques de groupes \(p\)-adiques I. Représentations galoisiennes et \((\varphi, \Gamma)\)-modules.) Zbl 1156.14002 14 2008 de Rham representations and universal norms. (Représentations de de Rham et normes universelles.) Zbl 1122.11036 Berger, Laurent 5 2005 Limits of crystalline representations. (Limites de représentations cristallines.) Zbl 1071.11067 Berger, Laurent 51 2004 Construction of some families of 2-dimensional crystalline representations. Zbl 1085.11028 Berger, Laurent; Li, Hanfeng; Zhu, Hui June 40 2004 An introduction to the theory of \(p\)-adic representations. Zbl 1118.11028 Berger, Laurent 28 2004 Bloch and Kato’s exponential map: three explicit formulas. Zbl 1064.11077 Berger, Laurent 28 2003 \(p\)-adic representations and differential equations. (Représentations \(p\)-adiques et équations différentielles.) Zbl 1113.14016 Berger, Laurent 99 2002 all cited Publications top 5 cited Publications all top 5 Cited by 257 Authors 17 Lei, Antonio 12 Berger, Laurent 11 Büyükboduk, Kâzim 9 Breuil, Christophe 8 Kedlaya, Kiran Sridhara 7 Colmez, Pierre 7 Hellmann, Eugen 7 Paškūnas, Vytautas 6 Bergdall, John 6 Ding, Yiwen 6 Ghate, Eknath P. 6 Hartl, Urs T. 6 Liu, Ruochuan 6 Loeffler, David 6 Rozensztajn, Sandra 6 Schraen, Benjamin 6 Venjakob, Otmar 6 Zerbes, Sarah Livia 5 Benois, Denis 5 Dieulefait, Luis Victor 5 Dospinescu, Gabriel 5 Gao, Hui 5 Gee, Toby 5 Liu, Tong 5 Morra, Stefano 5 Nizioł, Wiesława 5 Poyeton, Léo 5 Ray, Jishnu 4 Cais, Bryden 4 Khare, Chandrashekhar 4 Kozioł, Karol 4 Mézard, Ariane 4 Nagel, Enno 4 Nakamura, Kentaro 4 Zábrádi, Gergely 3 Bellovin, Rebecca 3 Chenevier, Gaëtan 3 De Ieso, Marco 3 Ganguli, Abhik 3 Große-Klönne, Elmar 3 Hu, Yongquan 3 Jacinto, Joaquín Rodrigues 3 Kisin, Mark 3 Newton, James 3 Pan, Lue 3 Patrikis, Stefan T. 3 Thorne, Jack 3 Tung, Shen-Ning 3 Xiao, Liang 3 Xie, Bingyong 2 Andreatta, Fabrizio 2 Arsovski, Bodan 2 Bertolini, Massimo 2 Betts, Luke Alexander 2 Bhattacharya, Shalini 2 Caruso, Xavier 2 Chojecki, Przemyslaw 2 Darmon, Henri René 2 Di Matteo, Giovanni 2 Diamond, Fred 2 Diao, Hansheng 2 Dimitrov, Mladen 2 Dousmanis, Gerasimos 2 Fakhruddin, Najmuddin 2 Flach, Matthias 2 Geraghty, David 2 Gulotta, Daniel R. 2 Hansen, David 2 Hatley, Jeffrey 2 Johansson, Christian 2 Le, Daniel 2 Levin, Brandon 2 Mazzari, Nicola 2 Ono, Ken 2 Ozeki, Yoshiyasu 2 Pépin, Cédric 2 Ponsinet, Gautier 2 Porat, Gal 2 Pottharst, Jonathan 2 Rolen, Larry 2 Schmidt, Tobias 2 Schneider, Peter 2 Shimizu, Koji 2 Steingart, Rustam 2 Sujatha, Ramdorai 2 Taylor, Richard 2 Tsuji, Takeshi 2 Venkat, Guhan 2 Wang, Shanwen 2 Yamashita, Go 2 Zhu, Xinwen 1 Abhinandan 1 Anandavardhanan, U. K. 1 Aribam, Chandrakant S. 1 Aubert, Anne-Marie 1 Ban, Dubravka 1 Barnet-Lamb, Thomas 1 Barrera, Daniel 1 Bartlett, Robin 1 Beilinson, Alexander A. ...and 157 more Authors all top 5 Cited in 72 Serials 18 Journal of Number Theory 17 Compositio Mathematica 16 Algebra & Number Theory 12 Mathematische Annalen 12 Transactions of the American Mathematical Society 12 Journal de Théorie des Nombres de Bordeaux 12 Documenta Mathematica 10 Journal of the Institute of Mathematics of Jussieu 9 Journal of the American Mathematical Society 8 Annales de l’Institut Fourier 8 Annales Mathématiques du Québec 7 Duke Mathematical Journal 7 Inventiones Mathematicae 7 Mathematische Zeitschrift 7 Memoirs of the American Mathematical Society 7 Representation Theory 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 International Journal of Number Theory 6 Advances in Mathematics 5 Israel Journal of Mathematics 5 Journal für die Reine und Angewandte Mathematik 5 Manuscripta Mathematica 5 Proceedings of the American Mathematical Society 5 Forum of Mathematics, Sigma 5 Research in the Mathematical Sciences 5 Research in Number Theory 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Bulletin de la Société Mathématique de France 4 Journal of Algebra 4 Journal of the London Mathematical Society. Second Series 4 Journal of the European Mathematical Society (JEMS) 3 Canadian Journal of Mathematics 3 Publications Mathématiques 3 Pacific Journal of Mathematics 3 Indagationes Mathematicae. New Series 3 Selecta Mathematica. New Series 3 Annals of Mathematics. Second Series 2 Acta Arithmetica 2 Proceedings of the London Mathematical Society. Third Series 2 Revista Matemática Iberoamericana 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Acta Mathematica Sinica. English Series 2 Oberwolfach Reports 2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 2 Forum of Mathematics, Pi 2 Proceedings of the American Mathematical Society. Series B 2 Peking Mathematical Journal 2 Essential Number Theory 1 Bulletin of the Australian Mathematical Society 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Annales Polonici Mathematici 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Mathematika 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Publicacions Matemàtiques 1 IMRN. International Mathematics Research Notices 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Algebraic Geometry 1 St. Petersburg Mathematical Journal 1 Algebras and Representation Theory 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Frontiers of Mathematics in China 1 Kyoto Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal de l’École Polytechnique – Mathématiques 1 Tunisian Journal of Mathematics 1 Annales Henri Lebesgue all top 5 Cited in 22 Fields 293 Number theory (11-XX) 109 Algebraic geometry (14-XX) 64 Topological groups, Lie groups (22-XX) 17 Group theory and generalizations (20-XX) 13 Commutative algebra (13-XX) 10 Field theory and polynomials (12-XX) 7 Functional analysis (46-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Nonassociative rings and algebras (17-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Mathematical logic and foundations (03-XX) 1 \(K\)-theory (19-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.