Edit Profile (opens in new tab) Lafforgue, Vincent Co-Author Distance Author ID: lafforgue.vincent Published as: Lafforgue, Vincent; Lafforgue, V. Homepage: http://vlafforg.perso.math.cnrs.fr/ External Links: MGP · Wikidata · dblp · IdRef · theses.fr Videos: carmin.tv Awards: EMS Prize (2000) · Breakthrough Prize in Mathematics (2018) Documents Indexed: 36 Publications since 1998, including 1 Book and 4 Additional arXiv Preprints Biographic References: 1 Publication Co-Authors: 15 Co-Authors with 17 Joint Publications 643 Co-Co-Authors all top 5 Co-Authors 18 single-authored 4 Genestier, Alain 4 Naor, Assaf 3 Lysenko, Sergey 2 Alvarez, Aurélien 2 Fox, Jacob 2 Gromov, Mikhael Leonidovich 2 Pach, János 1 de la Salle, Mikael 1 Dranishnikov, Alexander Nikolaevich 1 Fargues, Laurent 1 Gong, Guihua 1 Higson, Nigel 1 Oyono-Oyono, Hervé 1 Skandalis, Georges 1 Yu, Guoliang 1 Zhu, Xinwen all top 5 Serials 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin de la Société Mathématique de France 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Journal of Noncommutative Geometry 1 Israel Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Geometriae Dedicata 1 Inventiones Mathematicae 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Journal of the American Mathematical Society 1 Geometric and Functional Analysis. GAFA 1 Expositiones Mathematicae 1 Journal of Lie Theory 1 Representation Theory 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Progress in Mathematics 1 Journal of Topology and Analysis all top 5 Fields 19 Functional analysis (46-XX) 14 Number theory (11-XX) 11 Algebraic geometry (14-XX) 11 Topological groups, Lie groups (22-XX) 8 \(K\)-theory (19-XX) 6 Group theory and generalizations (20-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Abstract harmonic analysis (43-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 757 times in 582 Documents Cited by ▼ Year ▼ Counterexamples to the Baum-Connes conjecture. Zbl 1014.46043 Higson, N.; Lafforgue, V.; Skandalis, G. 127 2002 Bivariant \(K\)-theory for Banach algebras and the Baum-Connes conjecture. (\(K\)-théorie bivariante pour les algèbres de Banach et conjecture de Baum-Connes.) Zbl 1084.19003 Lafforgue, Vincent 108 2002 Shutkas for reductive groups and global Langlands parametrization. (Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale.) Zbl 1395.14017 Lafforgue, Vincent 70 2018 A reinforcement of property (T). (Un renforcement de la propriété (T).) Zbl 1158.46049 Lafforgue, Vincent 64 2008 Overlap properties of geometric expanders. Zbl 1306.05171 Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János 53 2012 Noncommutative \(L^{p}\)-spaces without the completely bounded approximation property. Zbl 1267.46072 Lafforgue, Vincent; de la Salle, Mikael 47 2011 The isomorphism between Lubin-Tate and Drinfeld towers. (L’isomorphisme entre les tours de Lubin-Tate et de Drinfeld.) Zbl 1136.14001 Fargues, Laurent; Genestier, Alain; Lafforgue, Vincent 39 2008 A proof of property (RD) for cocompact lattices of \(\text{SL}_3(\mathbb R)\) and \(\text{SL}_3(\mathbb C)\). Zbl 0981.46046 Lafforgue, Vincent 32 2000 A strengthened Banach property (T) and the fast Fourier transform. (Propriété (T) renforcée Banachique et transformation de Fourier rapide.) Zbl 1186.46022 Lafforgue, Vincent 30 2009 The Baum-Connes conjecture with coefficients for hyperbolic groups. (La conjecture de Baum-Connes à coefficients pour les groupes hyperboliques.) Zbl 1328.19010 Lafforgue, Vincent 29 2012 Uniform embeddings into Hilbert space and a question of Gromov. Zbl 1044.46020 Dranishnikov, A. N.; Gong, G.; Lafforgue, V.; Yu, G. 26 2002 Special values of \(L\)-functions in characteristic \(p\). (Valeurs spéciales des fonctions \(L\) en caractéristique \(p\).) Zbl 1194.11089 Lafforgue, Vincent 17 2009 Banach KK-theory and Baum-Connes conjecture. Zbl 0997.19003 Lafforgue, V. 16 2002 Vertical versus horizontal Poincaré inequalities on the Heisenberg group. Zbl 1312.46032 Lafforgue, Vincent; Naor, Assaf 15 2014 Bivariant \(K\)-theory for Banach algebras groupoids and Baum-Connes conjecture. With an appendix by Hervé Oyono-Oyono. (\(K\)-théorie bivariante pour les algèbres de Banach, groupoïdes et conjecture de Baum-Connes. Avec un appendice d’Hervé Oyono-Oyono.) Zbl 1135.19002 Lafforgue, Vincent 14 2007 Fontaine’s theory in equal characteristics. (Théorie de Fontaine en égales caractéristiques.) Zbl 1277.14036 Genestier, Alain; Lafforgue, Vincent 11 2011 A proof of the Baum-Connes conjecture for reductive \(p\)-adic groups and for some discrete groups satisfying property \((T)\). (Une démonstration de la conjecture de Baum-Connes pour les groupes réductifs sur un corps \(p\)-adique et pour certains groupes discrets possédant la propriété \((T)\).) Zbl 0911.46042 Lafforgue, Vincent 10 1998 Estimates for \(p\)-adic valuations of Hecke operator eigenvalues. (Estimées pour les valuations \(p\)-adiques des valeurs propres des opérateurs de Hecke.) Zbl 1250.11055 Lafforgue, Vincent 10 2011 The strengthened property (T) and the Baum-Connes conjecture. (Propriété (T) renforcée et conjecture de Baum-Connes.) Zbl 1216.19007 Lafforgue, Vincent 8 2010 A doubling subset of \(L_p\) for \(p>2\) that is inherently infinite dimensional. Zbl 1305.30029 Lafforgue, Vincent; Naor, Assaf 7 2014 Geometric Weil representation: local field case. Zbl 1220.22015 Lafforgue, Vincent; Lysenko, Sergey 5 2009 Overlap properties of geometric expanders (extended abstract). Zbl 1376.05101 Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János 4 2011 Hodge-Pink structures for the \(\varphi/\mathfrak S\)-modules of Breuil and Kisin. (Structures de Hodge-Pink pour les \(\varphi /\mathfrak S\)-modules de Breuil et Kisin.) Zbl 1328.11112 Genestier, Alain; Lafforgue, Vincent 4 2012 Proper affine isometric actions of hyperbolic groups on \(\ell^p\) spaces. (Actions affines isométriques propres des groupes hyperboliques sur des espaces \(\ell^p\).) Zbl 1476.20045 Alvarez, Aurélien; Lafforgue, Vincent 3 2017 Shtukas for reductive groups and Langlands correspondence for function fields. Zbl 1443.11248 Lafforgue, Vincent 3 2018 Compatibility of the theta correspondence with the Whittaker functors. (Compatibilité de la thêta-correspondence avec les foncteurs de Whittaker.) Zbl 1220.22016 Lafforgue, Vincent; Lysenko, Sergey 2 2011 A remark on conditionally negative definite functions. (Une remarque sur les fonctions conditionnellement de type négatif.) Zbl 1089.22005 Lafforgue, Vincent 2 2006 A non-Archimedean analogue of a result due to Haagerup and relations with the strengthened property (T). (Un analogue non archimédien d’un résultat de Haagerup et lien avec la propriété (T) renforcée.) Zbl 1369.46050 Lafforgue, Vincent 1 2016 Shutkas for reductive groups and global Langlands parametrization. (Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale.) Zbl 1395.14017 Lafforgue, Vincent 70 2018 Shtukas for reductive groups and Langlands correspondence for function fields. Zbl 1443.11248 Lafforgue, Vincent 3 2018 Proper affine isometric actions of hyperbolic groups on \(\ell^p\) spaces. (Actions affines isométriques propres des groupes hyperboliques sur des espaces \(\ell^p\).) Zbl 1476.20045 Alvarez, Aurélien; Lafforgue, Vincent 3 2017 A non-Archimedean analogue of a result due to Haagerup and relations with the strengthened property (T). (Un analogue non archimédien d’un résultat de Haagerup et lien avec la propriété (T) renforcée.) Zbl 1369.46050 Lafforgue, Vincent 1 2016 Vertical versus horizontal Poincaré inequalities on the Heisenberg group. Zbl 1312.46032 Lafforgue, Vincent; Naor, Assaf 15 2014 A doubling subset of \(L_p\) for \(p>2\) that is inherently infinite dimensional. Zbl 1305.30029 Lafforgue, Vincent; Naor, Assaf 7 2014 Overlap properties of geometric expanders. Zbl 1306.05171 Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János 53 2012 The Baum-Connes conjecture with coefficients for hyperbolic groups. (La conjecture de Baum-Connes à coefficients pour les groupes hyperboliques.) Zbl 1328.19010 Lafforgue, Vincent 29 2012 Hodge-Pink structures for the \(\varphi/\mathfrak S\)-modules of Breuil and Kisin. (Structures de Hodge-Pink pour les \(\varphi /\mathfrak S\)-modules de Breuil et Kisin.) Zbl 1328.11112 Genestier, Alain; Lafforgue, Vincent 4 2012 Noncommutative \(L^{p}\)-spaces without the completely bounded approximation property. Zbl 1267.46072 Lafforgue, Vincent; de la Salle, Mikael 47 2011 Fontaine’s theory in equal characteristics. (Théorie de Fontaine en égales caractéristiques.) Zbl 1277.14036 Genestier, Alain; Lafforgue, Vincent 11 2011 Estimates for \(p\)-adic valuations of Hecke operator eigenvalues. (Estimées pour les valuations \(p\)-adiques des valeurs propres des opérateurs de Hecke.) Zbl 1250.11055 Lafforgue, Vincent 10 2011 Overlap properties of geometric expanders (extended abstract). Zbl 1376.05101 Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János 4 2011 Compatibility of the theta correspondence with the Whittaker functors. (Compatibilité de la thêta-correspondence avec les foncteurs de Whittaker.) Zbl 1220.22016 Lafforgue, Vincent; Lysenko, Sergey 2 2011 The strengthened property (T) and the Baum-Connes conjecture. (Propriété (T) renforcée et conjecture de Baum-Connes.) Zbl 1216.19007 Lafforgue, Vincent 8 2010 A strengthened Banach property (T) and the fast Fourier transform. (Propriété (T) renforcée Banachique et transformation de Fourier rapide.) Zbl 1186.46022 Lafforgue, Vincent 30 2009 Special values of \(L\)-functions in characteristic \(p\). (Valeurs spéciales des fonctions \(L\) en caractéristique \(p\).) Zbl 1194.11089 Lafforgue, Vincent 17 2009 Geometric Weil representation: local field case. Zbl 1220.22015 Lafforgue, Vincent; Lysenko, Sergey 5 2009 A reinforcement of property (T). (Un renforcement de la propriété (T).) Zbl 1158.46049 Lafforgue, Vincent 64 2008 The isomorphism between Lubin-Tate and Drinfeld towers. (L’isomorphisme entre les tours de Lubin-Tate et de Drinfeld.) Zbl 1136.14001 Fargues, Laurent; Genestier, Alain; Lafforgue, Vincent 39 2008 Bivariant \(K\)-theory for Banach algebras groupoids and Baum-Connes conjecture. With an appendix by Hervé Oyono-Oyono. (\(K\)-théorie bivariante pour les algèbres de Banach, groupoïdes et conjecture de Baum-Connes. Avec un appendice d’Hervé Oyono-Oyono.) Zbl 1135.19002 Lafforgue, Vincent 14 2007 A remark on conditionally negative definite functions. (Une remarque sur les fonctions conditionnellement de type négatif.) Zbl 1089.22005 Lafforgue, Vincent 2 2006 Counterexamples to the Baum-Connes conjecture. Zbl 1014.46043 Higson, N.; Lafforgue, V.; Skandalis, G. 127 2002 Bivariant \(K\)-theory for Banach algebras and the Baum-Connes conjecture. (\(K\)-théorie bivariante pour les algèbres de Banach et conjecture de Baum-Connes.) Zbl 1084.19003 Lafforgue, Vincent 108 2002 Uniform embeddings into Hilbert space and a question of Gromov. Zbl 1044.46020 Dranishnikov, A. N.; Gong, G.; Lafforgue, V.; Yu, G. 26 2002 Banach KK-theory and Baum-Connes conjecture. Zbl 0997.19003 Lafforgue, V. 16 2002 A proof of property (RD) for cocompact lattices of \(\text{SL}_3(\mathbb R)\) and \(\text{SL}_3(\mathbb C)\). Zbl 0981.46046 Lafforgue, Vincent 32 2000 A proof of the Baum-Connes conjecture for reductive \(p\)-adic groups and for some discrete groups satisfying property \((T)\). (Une démonstration de la conjecture de Baum-Connes pour les groupes réductifs sur un corps \(p\)-adique et pour certains groupes discrets possédant la propriété \((T)\).) Zbl 0911.46042 Lafforgue, Vincent 10 1998 all cited Publications top 5 cited Publications all top 5 Cited by 577 Authors 13 Naor, Assaf 12 Willett, Rufus 12 Yu, Guoliang 11 Chen, Xiaoman 11 de la Salle, Mikael 11 Wang, Qin 9 de Laat, Tim 9 Hochs, Peter 8 Nowak, Piotr W. 8 Pach, János 8 Suk, Andrew 7 Echterhoff, Siegfried 7 Hartl, Urs T. 7 Lubotzky, Alexander 7 Wang, Hang 6 Baudier, Florent Pierre 6 Caspers, Martijn 6 Fox, Jacob 6 Gruber, Dominik 6 Lafforgue, Vincent 6 Mimura, Masato 6 Nica, Bogdan 6 Oyono-Oyono, Hervé 6 Paravicini, Walther Dietrich 6 Rosenthal, Ron 6 Weston, Anthony 6 Yun, Zhiwei 5 Bönicke, Christian 5 Boyer, Adrien 5 Buss, Alcides 5 de Mendonça Braga, Bruno 5 Dell’Aiera, Clément 5 Fu, Benyin 5 Li, Kang 5 Oppenheim, Izhar 5 Parcet, Javier 5 Parzanchevski, Ori 5 Spakula, Jan 5 Vigolo, Federico 5 Zhang, Jiawen 4 Anglès, Bruno 4 Arzhantseva, Goulnara N. 4 Aubert, Anne-Marie 4 Bartels, Arthur C. 4 Farah, Ilijas 4 Feng, Tony 4 Finn-Sell, Martin 4 Mathai, Varghese 4 Ngo Dac, Tuan 4 Pilloni, Vincent 4 Richarz, Timo 4 Scholbach, Jakob 4 Sisto, Alessandro 4 Solleveld, Maarten 4 Suzuki, Yuhei 4 Tavares Ribeiro, Floric 4 Wang, Xianjin 4 Xie, Zhizhang 4 Zhang, Wei 3 Bárány, Imre 3 Bédos, Erik 3 Boyer, Pascal 3 Chung, Yeong Chyuan 3 Conlon, David 3 Conti, Roberto 3 Dadarlat, Marius 3 Engel, Alexander 3 Farang-Hariri, Banafsheh 3 Fässler, Katrin S. 3 Gomez-Aparicio, Maria-Paula 3 Haagerup, Uffe Valentin 3 Julg, Pierre 3 Kaufman, Tali 3 Kazhdan, David 3 Kedlaya, Kiran Sridhara 3 Logachev, Dmitry 3 Lück, Wolfgang 3 Matthey, Michel 3 Mendel, Manor 3 Meyer, Ralf 3 Nest, Ryszard 3 Nishikawa, Shintaro 3 Orponen, Tuomas 3 Piazza, Paolo 3 Plymen, Roger J. 3 Proietti, Valerio 3 Reich, Holger 3 Ricard, Éric 3 Shen, Xu 3 Skandalis, Georges 3 Taelman, Lenny 3 Thakur, Dinesh S. 3 Tsushima, Takahiro 3 Vergara, Ignacio 3 Vignati, Alessandro 3 Wright, Nick J. 3 Yuncken, Robert 3 Zenobi, Vito Felice 3 Zhang, Jianguo 2 Antonini, Paolo ...and 477 more Authors all top 5 Cited in 135 Serials 45 Journal of Functional Analysis 32 Advances in Mathematics 21 Transactions of the American Mathematical Society 19 Journal of Noncommutative Geometry 17 Mathematische Annalen 15 Annales de l’Institut Fourier 15 Proceedings of the American Mathematical Society 13 Journal of Topology and Analysis 12 Duke Mathematical Journal 12 Inventiones Mathematicae 11 Israel Journal of Mathematics 10 Journal of Mathematical Analysis and Applications 10 Journal of Number Theory 10 Journal für die Reine und Angewandte Mathematik 10 Annals of Mathematics. Second Series 9 Discrete & Computational Geometry 8 Compositio Mathematica 7 Chinese Annals of Mathematics. Series B 7 Journal of the Institute of Mathematics of Jussieu 6 Bulletin de la Société Mathématique de France 6 Journal of the European Mathematical Society (JEMS) 6 Groups, Geometry, and Dynamics 6 Algebra & Number Theory 6 Journal of \(K\)-Theory 6 Annals of \(K\)-Theory 5 Journal of Geometry and Physics 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Journal of Algebra 5 Mathematische Zeitschrift 5 Journal of the American Mathematical Society 5 Bulletin of the American Mathematical Society. New Series 5 Selecta Mathematica. New Series 5 Documenta Mathematica 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Communications in Mathematical Physics 4 Bulletin of the London Mathematical Society 4 Geometriae Dedicata 4 Proceedings of the London Mathematical Society. Third Series 4 \(K\)-Theory 4 Geometric and Functional Analysis. GAFA 4 Linear Algebra and its Applications 4 The Journal of Fourier Analysis and Applications 4 Representation Theory 4 Algebraic & Geometric Topology 3 Bulletin of the Australian Mathematical Society 3 Studia Mathematica 3 Canadian Journal of Mathematics 3 Publications Mathématiques 3 Journal of the London Mathematical Society. Second Series 3 Memoirs of the American Mathematical Society 3 Topology and its Applications 3 Combinatorica 3 The New York Journal of Mathematics 3 Geometry & Topology 3 Journal of Homotopy and Related Structures 3 Analysis & PDE 3 Forum of Mathematics, Sigma 2 Houston Journal of Mathematics 2 Letters in Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica Vietnamica 2 Integral Equations and Operator Theory 2 Manuscripta Mathematica 2 European Journal of Combinatorics 2 Random Structures & Algorithms 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Journal de Théorie des Nombres de Bordeaux 2 Journal of Lie Theory 2 The Ramanujan Journal 2 Positivity 2 Acta Mathematica Sinica. English Series 2 International Journal of Number Theory 2 Japanese Journal of Mathematics. 3rd Series 2 Science China. Mathematics 2 Kyoto Journal of Mathematics 2 Forum of Mathematics, Pi 2 Analysis and Geometry in Metric Spaces 2 Journal de l’École Polytechnique – Mathématiques 2 Journal of Applied and Computational Topology 1 Communications in Algebra 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Acta Mathematica 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 Journal of Combinatorial Theory. Series B 1 Journal of the Indian Institute of Science 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 SIAM Journal on Computing 1 Tôhoku Mathematical Journal. Second Series 1 Ergodic Theory and Dynamical Systems 1 Acta Mathematica Hungarica 1 Revista Matemática Iberoamericana ...and 35 more Serials all top 5 Cited in 41 Fields 261 Functional analysis (46-XX) 154 Topological groups, Lie groups (22-XX) 139 Group theory and generalizations (20-XX) 118 \(K\)-theory (19-XX) 115 Number theory (11-XX) 92 Algebraic geometry (14-XX) 75 Combinatorics (05-XX) 46 Abstract harmonic analysis (43-XX) 46 Global analysis, analysis on manifolds (58-XX) 35 Geometry (51-XX) 31 Differential geometry (53-XX) 29 Operator theory (47-XX) 27 Manifolds and cell complexes (57-XX) 24 Algebraic topology (55-XX) 19 General topology (54-XX) 16 Computer science (68-XX) 15 Functions of a complex variable (30-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 13 Convex and discrete geometry (52-XX) 9 Commutative algebra (13-XX) 9 Category theory; homological algebra (18-XX) 9 Quantum theory (81-XX) 6 Probability theory and stochastic processes (60-XX) 5 Field theory and polynomials (12-XX) 4 General and overarching topics; collections (00-XX) 4 Associative rings and algebras (16-XX) 4 Partial differential equations (35-XX) 3 Mathematical logic and foundations (03-XX) 3 Measure and integration (28-XX) 3 Several complex variables and analytic spaces (32-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Operations research, mathematical programming (90-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Integral transforms, operational calculus (44-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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