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 Awards: EMS Prize (2000) · Breakthrough Prize in Mathematics (2018) Documents Indexed: 32 Publications since 1998, including 1 Book Biographic References: 1 Publication Co-Authors: 14 Co-Authors with 15 Joint Publications 574 Co-Co-Authors all top 5 Co-Authors 17 single-authored 4 Naor, Assaf 3 Genestier, Alain 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 Skandalis, Georges 1 Yu, Guoliang 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) 11 Topological groups, Lie groups (22-XX) 10 Number theory (11-XX) 8 \(K\)-theory (19-XX) 7 Algebraic geometry (14-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 635 times in 489 Documents Cited by ▼ Year ▼ Counterexamples to the Baum-Connes conjecture. Zbl 1014.46043Higson, N.; Lafforgue, V.; Skandalis, G. 113 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 1084.19003Lafforgue, Vincent 95 2002 A reinforcement of property (T). (Un renforcement de la propriété (T).) Zbl 1158.46049Lafforgue, Vincent 57 2008 Shutkas for reductive groups and global Langlands parametrization. (Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale.) Zbl 1395.14017Lafforgue, Vincent 51 2018 Overlap properties of geometric expanders. Zbl 1306.05171Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János 40 2012 Noncommutative \(L^{p}\)-spaces without the completely bounded approximation property. Zbl 1267.46072Lafforgue, Vincent; de la Salle, Mikael 36 2011 The isomorphism between Lubin-Tate and Drinfeld towers. (L’isomorphisme entre les tours de Lubin-Tate et de Drinfeld.) Zbl 1136.14001Fargues, Laurent; Genestier, Alain; Lafforgue, Vincent 31 2008 A proof of property (RD) for cocompact lattices of \(\text{SL}_3(\mathbb R)\) and \(\text{SL}_3(\mathbb C)\). Zbl 0981.46046Lafforgue, Vincent 27 2000 A strengthened Banach property (T) and the fast Fourier transform. (Propriété (T) renforcée Banachique et transformation de Fourier rapide.) Zbl 1186.46022Lafforgue, Vincent 26 2009 Uniform embeddings into Hilbert space and a question of Gromov. Zbl 1044.46020Dranishnikov, A. N.; Gong, G.; Lafforgue, V.; Yu, G. 25 2002 The Baum-Connes conjecture with coefficients for hyperbolic groups. (La conjecture de Baum-Connes à coefficients pour les groupes hyperboliques.) Zbl 1328.19010Lafforgue, Vincent 20 2012 Special values of \(L\)-functions in characteristic \(p\). (Valeurs spéciales des fonctions \(L\) en caractéristique \(p\).) Zbl 1194.11089Lafforgue, Vincent 17 2009 Vertical versus horizontal Poincaré inequalities on the Heisenberg group. Zbl 1312.46032Lafforgue, Vincent; Naor, Assaf 13 2014 Banach KK-theory and Baum-Connes conjecture. Zbl 0997.19003Lafforgue, V. 11 2002 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 0911.46042Lafforgue, Vincent 10 1998 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 1135.19002Lafforgue, Vincent 10 2007 Estimates for \(p\)-adic valuations of Hecke operator eigenvalues. (Estimées pour les valuations \(p\)-adiques des valeurs propres des opérateurs de Hecke.) Zbl 1250.11055Lafforgue, Vincent 10 2011 Fontaine’s theory in equal characteristics. (Théorie de Fontaine en égales caractéristiques.) Zbl 1277.14036Genestier, Alain; Lafforgue, Vincent 10 2011 The strengthened property (T) and the Baum-Connes conjecture. (Propriété (T) renforcée et conjecture de Baum-Connes.) Zbl 1216.19007Lafforgue, Vincent 7 2010 A doubling subset of \(L_p\) for \(p>2\) that is inherently infinite dimensional. Zbl 1305.30029Lafforgue, Vincent; Naor, Assaf 6 2014 Geometric Weil representation: local field case. Zbl 1220.22015Lafforgue, Vincent; Lysenko, Sergey 5 2009 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 1328.11112Genestier, 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 1476.20045Alvarez, Aurélien; Lafforgue, Vincent 3 2017 A remark on conditionally negative definite functions. (Une remarque sur les fonctions conditionnellement de type négatif.) Zbl 1089.22005Lafforgue, Vincent 2 2006 Overlap properties of geometric expanders (extended abstract). Zbl 1376.05101Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János 2 2011 Compatibility of the theta correspondence with the Whittaker functors. (Compatibilité de la thêta-correspondence avec les foncteurs de Whittaker.) Zbl 1220.22016Lafforgue, Vincent; Lysenko, Sergey 2 2011 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 1369.46050Lafforgue, Vincent 1 2016 Shtukas for reductive groups and Langlands correspondence for function fields. Zbl 1443.11248Lafforgue, Vincent 1 2018 Shutkas for reductive groups and global Langlands parametrization. (Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale.) Zbl 1395.14017Lafforgue, Vincent 51 2018 Shtukas for reductive groups and Langlands correspondence for function fields. Zbl 1443.11248Lafforgue, Vincent 1 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 1476.20045Alvarez, 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 1369.46050Lafforgue, Vincent 1 2016 Vertical versus horizontal Poincaré inequalities on the Heisenberg group. Zbl 1312.46032Lafforgue, Vincent; Naor, Assaf 13 2014 A doubling subset of \(L_p\) for \(p>2\) that is inherently infinite dimensional. Zbl 1305.30029Lafforgue, Vincent; Naor, Assaf 6 2014 Overlap properties of geometric expanders. Zbl 1306.05171Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János 40 2012 The Baum-Connes conjecture with coefficients for hyperbolic groups. (La conjecture de Baum-Connes à coefficients pour les groupes hyperboliques.) Zbl 1328.19010Lafforgue, Vincent 20 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 1328.11112Genestier, Alain; Lafforgue, Vincent 4 2012 Noncommutative \(L^{p}\)-spaces without the completely bounded approximation property. Zbl 1267.46072Lafforgue, Vincent; de la Salle, Mikael 36 2011 Estimates for \(p\)-adic valuations of Hecke operator eigenvalues. (Estimées pour les valuations \(p\)-adiques des valeurs propres des opérateurs de Hecke.) Zbl 1250.11055Lafforgue, Vincent 10 2011 Fontaine’s theory in equal characteristics. (Théorie de Fontaine en égales caractéristiques.) Zbl 1277.14036Genestier, Alain; Lafforgue, Vincent 10 2011 Overlap properties of geometric expanders (extended abstract). Zbl 1376.05101Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János 2 2011 Compatibility of the theta correspondence with the Whittaker functors. (Compatibilité de la thêta-correspondence avec les foncteurs de Whittaker.) Zbl 1220.22016Lafforgue, Vincent; Lysenko, Sergey 2 2011 The strengthened property (T) and the Baum-Connes conjecture. (Propriété (T) renforcée et conjecture de Baum-Connes.) Zbl 1216.19007Lafforgue, Vincent 7 2010 A strengthened Banach property (T) and the fast Fourier transform. (Propriété (T) renforcée Banachique et transformation de Fourier rapide.) Zbl 1186.46022Lafforgue, Vincent 26 2009 Special values of \(L\)-functions in characteristic \(p\). (Valeurs spéciales des fonctions \(L\) en caractéristique \(p\).) Zbl 1194.11089Lafforgue, Vincent 17 2009 Geometric Weil representation: local field case. Zbl 1220.22015Lafforgue, Vincent; Lysenko, Sergey 5 2009 A reinforcement of property (T). (Un renforcement de la propriété (T).) Zbl 1158.46049Lafforgue, Vincent 57 2008 The isomorphism between Lubin-Tate and Drinfeld towers. (L’isomorphisme entre les tours de Lubin-Tate et de Drinfeld.) Zbl 1136.14001Fargues, Laurent; Genestier, Alain; Lafforgue, Vincent 31 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 1135.19002Lafforgue, Vincent 10 2007 A remark on conditionally negative definite functions. (Une remarque sur les fonctions conditionnellement de type négatif.) Zbl 1089.22005Lafforgue, Vincent 2 2006 Counterexamples to the Baum-Connes conjecture. Zbl 1014.46043Higson, N.; Lafforgue, V.; Skandalis, G. 113 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 1084.19003Lafforgue, Vincent 95 2002 Uniform embeddings into Hilbert space and a question of Gromov. Zbl 1044.46020Dranishnikov, A. N.; Gong, G.; Lafforgue, V.; Yu, G. 25 2002 Banach KK-theory and Baum-Connes conjecture. Zbl 0997.19003Lafforgue, V. 11 2002 A proof of property (RD) for cocompact lattices of \(\text{SL}_3(\mathbb R)\) and \(\text{SL}_3(\mathbb C)\). Zbl 0981.46046Lafforgue, Vincent 27 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 0911.46042Lafforgue, Vincent 10 1998 all cited Publications top 5 cited Publications all top 5 Cited by 493 Authors 12 Naor, Assaf 10 Chen, Xiaoman 10 de la Salle, Mikael 10 Wang, Qin 10 Willett, Rufus 10 Yu, Guoliang 9 de Laat, Tim 8 Pach, János 8 Suk, Andrew 7 Hartl, Urs T. 7 Hochs, Peter 7 Lubotzky, Alexander 6 Echterhoff, Siegfried 6 Fox, Jacob 6 Gruber, Dominik 6 Lafforgue, Vincent 6 Mimura, Masato 6 Nica, Bogdan 6 Nowak, Piotr W. 6 Paravicini, Walther Dietrich 6 Weston, Anthony 5 Boyer, Adrien 5 Buss, Alcides 5 Dell’Aiera, Clément 5 Oyono-Oyono, Hervé 5 Parcet, Javier 5 Spakula, Jan 5 Wang, Hang 5 Yun, Zhiwei 4 Anglès, Bruno 4 Arzhantseva, Goulnara N. 4 Aubert, Anne-Marie 4 Bartels, Arthur C. 4 Bönicke, Christian 4 Finn-Sell, Martin 4 Mathai, Varghese 4 Ngo Dac, Tuan 4 Parzanchevski, Ori 4 Pilloni, Vincent 4 Sisto, Alessandro 4 Solleveld, Maarten 4 Suzuki, Yuhei 4 Tavares Ribeiro, Floric 4 Vigolo, Federico 4 Wang, Xianjin 3 Bárány, Imre 3 Caspers, Martijn 3 Dadarlat, Marius 3 Engel, Alexander 3 Farang-Hariri, Banafsheh 3 Fässler, Katrin S. 3 Fu, Benyin 3 Gomez-Aparicio, Maria-Paula 3 González-Pérez, Adrían Manuel 3 Haagerup, Uffe Valentin 3 Julg, Pierre 3 Li, Kang 3 Logachev, Dmitry 3 Lück, Wolfgang 3 Matthey, Michel 3 Mendel, Manor 3 Meyer, Ralf 3 Nest, Ryszard 3 Orponen, Tuomas 3 Piazza, Paolo 3 Plymen, Roger J. 3 Reich, Holger 3 Ricard, Éric 3 Richarz, Timo 3 Rosenthal, Ron 3 Scholbach, Jakob 3 Shen, Xu 3 Skandalis, Georges 3 Taelman, Lenny 3 Thakur, Dinesh S. 3 Tsushima, Takahiro 3 Wright, Nick J. 3 Yuncken, Robert 3 Zenobi, Vito Felice 3 Zhang, Jiawen 2 Antonini, Paolo 2 Azzali, Sara 2 Barré, Sylvain 2 Baudier, Florent P. 2 Bédos, Erik 2 Berger, Tobias 2 Boyer, Pascal 2 Brown, Aaron W. 2 Bukh, Boris 2 Chatterji, Indira 2 Cheng, Chuangxun 2 Cheng, Qingjin 2 Chung, Yeong Chyuan 2 Conlon, David 2 Conti, Roberto 2 Dahmani, François 2 de Mendonça Braga, Bruno 2 Doucha, Michal 2 Doust, Ian 2 Emerson, Heath ...and 393 more Authors all top 5 Cited in 126 Serials 43 Journal of Functional Analysis 28 Advances in Mathematics 19 Transactions of the American Mathematical Society 15 Proceedings of the American Mathematical Society 14 Annales de l’Institut Fourier 13 Journal of Topology and Analysis 12 Duke Mathematical Journal 12 Mathematische Annalen 12 Journal of Noncommutative Geometry 10 Israel Journal of Mathematics 10 Journal of Mathematical Analysis and Applications 10 Journal of Number Theory 10 Annals of Mathematics. Second Series 9 Discrete & Computational Geometry 8 Inventiones Mathematicae 8 Journal für die Reine und Angewandte Mathematik 6 Journal of the European Mathematical Society (JEMS) 6 Journal of the Institute of Mathematics of Jussieu 6 Journal of \(K\)-Theory 5 Journal of Geometry and Physics 5 Bulletin de la Société Mathématique de France 5 Compositio Mathematica 5 Journal of Algebra 5 Chinese Annals of Mathematics. Series B 5 Bulletin of the American Mathematical Society. New Series 5 Documenta Mathematica 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Groups, Geometry, and Dynamics 5 Annals of \(K\)-Theory 4 Communications in Mathematical Physics 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 \(K\)-Theory 4 Journal of the American Mathematical Society 4 Geometric and Functional Analysis. GAFA 4 Linear Algebra and its Applications 4 Selecta Mathematica. New Series 4 Representation Theory 4 Algebra & Number Theory 3 Bulletin of the Australian Mathematical Society 3 Geometriae Dedicata 3 Publications Mathématiques 3 Mathematische Zeitschrift 3 Geometry & Topology 3 Algebraic & Geometric Topology 3 Journal of Homotopy and Related Structures 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 Studia Mathematica 2 Acta Mathematica Vietnamica 2 Canadian Journal of Mathematics 2 Journal of the London Mathematical Society. Second Series 2 Memoirs of the American Mathematical Society 2 Proceedings of the London Mathematical Society. Third Series 2 Topology and its Applications 2 European Journal of Combinatorics 2 Combinatorica 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 The New York Journal of Mathematics 2 Journal of Lie Theory 2 The Journal of Fourier Analysis and Applications 2 Positivity 2 Acta Mathematica Sinica. English Series 2 Analysis & PDE 2 Science China. Mathematics 2 Kyoto Journal of Mathematics 2 Forum of Mathematics, Sigma 2 Analysis and Geometry in Metric Spaces 1 Communications in Algebra 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Acta Mathematica 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of Combinatorial Theory. Series B 1 Journal of the Mathematical Society of Japan 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 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 1 SIAM Journal on Discrete Mathematics 1 International Journal of Algebra and Computation 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Aequationes Mathematicae 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences ...and 26 more Serials all top 5 Cited in 41 Fields 225 Functional analysis (46-XX) 127 Topological groups, Lie groups (22-XX) 124 Group theory and generalizations (20-XX) 103 \(K\)-theory (19-XX) 92 Number theory (11-XX) 75 Algebraic geometry (14-XX) 65 Combinatorics (05-XX) 39 Global analysis, analysis on manifolds (58-XX) 35 Abstract harmonic analysis (43-XX) 27 Geometry (51-XX) 26 Differential geometry (53-XX) 25 Operator theory (47-XX) 23 Manifolds and cell complexes (57-XX) 21 Algebraic topology (55-XX) 17 General topology (54-XX) 15 Functions of a complex variable (30-XX) 13 Convex and discrete geometry (52-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Quantum theory (81-XX) 8 Commutative algebra (13-XX) 8 Computer science (68-XX) 7 Category theory; homological algebra (18-XX) 5 Field theory and polynomials (12-XX) 5 Probability theory and stochastic processes (60-XX) 4 General and overarching topics; collections (00-XX) 3 Mathematical logic and foundations (03-XX) 3 Associative rings and algebras (16-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Partial differential equations (35-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 1 Real functions (26-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operations research, mathematical programming (90-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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