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Lafforgue, Vincent

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Author ID: lafforgue.vincent Recent zbMATH articles by "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

Publications by Year

Citations contained in zbMATH Open

27 Publications have been cited 497 times in 388 Documents Cited by Year
Counterexamples to the Baum-Connes conjecture. Zbl 1014.46043
Higson, N.; Lafforgue, V.; Skandalis, G.
94
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
79
2002
A reinforcement of property (T). (Un renforcement de la propriété (T).) Zbl 1158.46049
Lafforgue, Vincent
42
2008
Overlap properties of geometric expanders. Zbl 1306.05171
Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János
34
2012
Noncommutative \(L^{p}\)-spaces without the completely bounded approximation property. Zbl 1267.46072
Lafforgue, Vincent; De La Salle, Mikael
30
2011
Shutkas for reductive groups and global Langlands parametrization. (Chtoucas pour les groupes réductifs et paramétrisation de Langlands globale.) Zbl 1395.14017
Lafforgue, Vincent
28
2018
Uniform embeddings into Hilbert space and a question of Gromov. Zbl 1044.46020
Dranishnikov, A. N.; Gong, G.; Lafforgue, V.; Yu, G.
23
2002
A strengthened Banach property (T) and the fast Fourier transform. (Propriété (T) renforcée Banachique et transformation de Fourier rapide.) Zbl 1186.46022
Lafforgue, Vincent
22
2009
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
22
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
17
2000
Special values of \(L\)-functions in characteristic \(p\). (Valeurs spéciales des fonctions \(L\) en caractéristique \(p\).) Zbl 1194.11089
Lafforgue, Vincent
14
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
13
2012
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
Vertical versus horizontal Poincaré inequalities on the Heisenberg group. Zbl 1312.46032
Lafforgue, Vincent; Naor, Assaf
10
2014
Banach KK-theory and Baum-Connes conjecture. Zbl 0997.19003
Lafforgue, V.
9
2002
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
9
2007
The strengthened property (T) and the Baum-Connes conjecture. (Propriété (T) renforcée et conjecture de Baum-Connes.) Zbl 1216.19007
Lafforgue, Vincent
7
2010
Fontaine’s theory in equal characteristics. (Théorie de Fontaine en égales caractéristiques.) Zbl 1277.14036
Genestier, Alain; Lafforgue, Vincent
6
2011
A doubling subset of \(L_p\) for \(p>2\) that is inherently infinite dimensional. Zbl 1305.30029
Lafforgue, Vincent; Naor, Assaf
6
2014
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
5
2011
Geometric Weil representation: local field case. Zbl 1220.22015
Lafforgue, 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 1328.11112
Genestier, Alain; Lafforgue, Vincent
3
2012
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
Overlap properties of geometric expanders (extended abstract). Zbl 1376.05101
Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János
2
2011
Proper affine isometric actions of hyperbolic groups on \(\ell^p\) spaces. (Actions affines isométriques propres des groupes hyperboliques sur des espaces \(\ell^p\).) Zbl 06787004
Alvarez, Aurélien; Lafforgue, Vincent
2
2017
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
28
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 06787004
Alvarez, Aurélien; Lafforgue, Vincent
2
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
10
2014
A doubling subset of \(L_p\) for \(p>2\) that is inherently infinite dimensional. Zbl 1305.30029
Lafforgue, Vincent; Naor, Assaf
6
2014
Overlap properties of geometric expanders. Zbl 1306.05171
Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János
34
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
13
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
3
2012
Noncommutative \(L^{p}\)-spaces without the completely bounded approximation property. Zbl 1267.46072
Lafforgue, Vincent; De La Salle, Mikael
30
2011
Fontaine’s theory in equal characteristics. (Théorie de Fontaine en égales caractéristiques.) Zbl 1277.14036
Genestier, Alain; Lafforgue, Vincent
6
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
5
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
Overlap properties of geometric expanders (extended abstract). Zbl 1376.05101
Fox, Jacob; Gromov, Mikhail; Lafforgue, Vincent; Naor, Assaf; Pach, János
2
2011
The strengthened property (T) and the Baum-Connes conjecture. (Propriété (T) renforcée et conjecture de Baum-Connes.) Zbl 1216.19007
Lafforgue, Vincent
7
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
22
2009
Special values of \(L\)-functions in characteristic \(p\). (Valeurs spéciales des fonctions \(L\) en caractéristique \(p\).) Zbl 1194.11089
Lafforgue, Vincent
14
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
42
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
22
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
9
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.
94
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
79
2002
Uniform embeddings into Hilbert space and a question of Gromov. Zbl 1044.46020
Dranishnikov, A. N.; Gong, G.; Lafforgue, V.; Yu, G.
23
2002
Banach KK-theory and Baum-Connes conjecture. Zbl 0997.19003
Lafforgue, V.
9
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
17
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 top 5

Cited by 388 Authors

10 Chen, Xiaoman
10 Naor, Assaf
9 Wang, Qin
9 Yu, Guoliang
8 de la Salle, Mikael
8 de Laat, Tim
8 Willett, Rufus
7 Lubotzky, Alexander
6 Echterhoff, Siegfried
6 Gruber, Dominik
6 Hochs, Peter
6 Lafforgue, Vincent
6 Nowak, Piotr W.
6 Pach, János
6 Paravicini, Walther Dietrich
6 Weston, Anthony
5 Buss, Alcides
5 Mimura, Masato
5 Nica, Bogdan
5 Spakula, Jan
5 Suk, Andrew
4 Aubert, Anne-Marie
4 Bartels, Arthur C.
4 Finn-Sell, Martin
4 Fox, Jacob
4 Hartl, Urs T.
4 Oyono-Oyono, Hervé
4 Parzanchevski, Ori
4 Sisto, Alessandro
4 Solleveld, Maarten
4 Suzuki, Yuhei
4 Vigolo, Federico
4 Wang, Hang
4 Wang, Xianjin
4 Yun, Zhiwei
3 Anglès, Bruno
3 Arzhantseva, Goulnara N.
3 Bönicke, Christian
3 Boyer, Adrien
3 Caspers, Martijn
3 Farang-Hariri, Banafsheh
3 Fu, Benyin
3 Haagerup, Uffe Valentin
3 Julg, Pierre
3 Li, Kang
3 Lück, Wolfgang
3 Mendel, Manor
3 Nest, Ryszard
3 Ngo Dac, Tuan
3 Piazza, Paolo
3 Plymen, Roger J.
3 Reich, Holger
3 Rosenthal, Ron
3 Skandalis, Georges
3 Taelman, Lenny
3 Tavares Ribeiro, Floric
3 Tsushima, Takahiro
3 Wright, Nick J.
3 Yuncken, Robert
3 Zhang, Jiawen
2 Antonini, Paolo
2 Bárány, Imre
2 Bédos, Erik
2 Bukh, Boris
2 Cheng, Chuangxun
2 Chung, Yeong Chyuan
2 Conlon, David
2 Conti, Roberto
2 Dadarlat, Marius
2 de Mendonça Braga, Bruno
2 Dell’Aiera, Clément
2 Doust, Ian
2 Emerson, Heath
2 Engel, Alexander
2 Fang, JiangXue
2 Frenkel, Edward V.
2 Gomez-Aparicio, Maria-Paula
2 González-Pérez, Adrián M.
2 Gromov, Mikhael Leonidovich
2 Hernandez, Valentin
2 Hume, David
2 Ji, Ronghui
2 Johnson, William Buhmann
2 Karasev, Roman N.
2 Khukhro, Ana
2 Kim, Wansu
2 Knudby, Søren
2 Kostenko, Aleksey S.
2 Li, Sean
2 Liao, Benben
2 Luria, Zur
2 Lysenko, Sergey
2 Manuĭlov, Vladimir Markovich
2 Mathai, Varghese
2 Matthey, Michel
2 Meyer, Ralf
2 Mieda, Yoichi
2 Mitchener, Paul D.
2 Neiman, Ofer
2 Oppenheim, Izhar
...and 288 more Authors
all top 5

Cited in 109 Serials

38 Journal of Functional Analysis
26 Advances in Mathematics
14 Transactions of the American Mathematical Society
13 Proceedings of the American Mathematical Society
11 Mathematische Annalen
11 Journal of Topology and Analysis
10 Annales de l’Institut Fourier
10 Duke Mathematical Journal
9 Journal of Mathematical Analysis and Applications
9 Discrete & Computational Geometry
9 Annals of Mathematics. Second Series
8 Israel Journal of Mathematics
8 Journal of Number Theory
8 Journal of Noncommutative Geometry
7 Journal für die Reine und Angewandte Mathematik
6 Journal of \(K\)-Theory
5 Journal of Geometry and Physics
5 Inventiones Mathematicae
5 Journal of Algebra
5 Chinese Annals of Mathematics. Series B
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Groups, Geometry, and Dynamics
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 Bulletin of the American Mathematical Society. New Series
4 Journal of the Institute of Mathematics of Jussieu
3 Compositio Mathematica
3 Geometriae Dedicata
3 Mathematische Zeitschrift
3 Linear Algebra and its Applications
3 Selecta Mathematica. New Series
3 Documenta Mathematica
3 Representation Theory
3 Journal of the European Mathematical Society (JEMS)
3 Journal of Homotopy and Related Structures
3 Annals of \(K\)-Theory
2 Bulletin of the Australian Mathematical Society
2 Communications in Mathematical Physics
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 Canadian Journal of Mathematics
2 Publications Mathématiques
2 Topology and its Applications
2 European Journal of Combinatorics
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 of Lie Theory
2 The Journal of Fourier Analysis and Applications
2 Geometry & Topology
2 Algebraic & Geometric Topology
2 Science China. Mathematics
2 Kyoto Journal of Mathematics
2 Forum of Mathematics, Sigma
1 Communications in Algebra
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Acta Mathematica
1 Acta Mathematica Vietnamica
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
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 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Nagoya Mathematical Journal
1 Proceedings of the London Mathematical Society. Third Series
1 SIAM Journal on Computing
1 Tohoku Mathematical Journal. Second Series
1 Combinatorica
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 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Potential Analysis
1 Journal de Théorie des Nombres de Bordeaux
1 Combinatorics, Probability and Computing
1 Finite Fields and their Applications
1 The New York Journal of Mathematics
1 Bulletin des Sciences Mathématiques
1 The Bulletin of Symbolic Logic
1 Transformation Groups
1 The Ramanujan Journal
1 Mathematical Physics, Analysis and Geometry
1 Positivity
1 Acta Mathematica Sinica. English Series
1 Algebra & Number Theory
...and 9 more Serials
all top 5

Cited in 39 Fields

189 Functional analysis (46-XX)
104 Topological groups, Lie groups (22-XX)
100 Group theory and generalizations (20-XX)
87 \(K\)-theory (19-XX)
63 Number theory (11-XX)
60 Combinatorics (05-XX)
49 Algebraic geometry (14-XX)
31 Global analysis, analysis on manifolds (58-XX)
29 Abstract harmonic analysis (43-XX)
23 Differential geometry (53-XX)
22 Geometry (51-XX)
20 Operator theory (47-XX)
20 Manifolds and cell complexes (57-XX)
18 Algebraic topology (55-XX)
15 General topology (54-XX)
14 Functions of a complex variable (30-XX)
12 Convex and discrete geometry (52-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
5 Category theory; homological algebra (18-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Probability theory and stochastic processes (60-XX)
5 Computer science (68-XX)
4 Commutative algebra (13-XX)
4 Quantum theory (81-XX)
3 General and overarching topics; collections (00-XX)
3 Mathematical logic and foundations (03-XX)
2 History and biography (01-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Associative rings and algebras (16-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Special functions (33-XX)
2 Partial differential equations (35-XX)
1 Field theory and polynomials (12-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Real functions (26-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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