×

zbMATH — the first resource for mathematics

Bergeron, Nicolas

Compute Distance To:
Author ID: bergeron.nicolas Recent zbMATH articles by "Bergeron, Nicolas"
Published as: Bergeron, N.; Bergeron, Nicolas
Homepage: http://webusers.imj-prg.fr/~nicolas.bergeron/Accueil.html
External Links: MGP · Wikidata · GND
Member of Collective: de Saint-Gervais, Henri Paul
Documents Indexed: 51 Publications since 1999, including 4 Books

Publications by Year

Citations contained in zbMATH Open

35 Publications have been cited 324 times in 242 Documents Cited by Year
The asymptotic growth of torsion homology for arithmetic groups. Zbl 1266.22013
Bergeron, Nicolas; Venkatesh, Akshay
52
2013
On the growth of \(L^2\)-invariants for sequences of lattices in Lie groups. Zbl 1379.22006
Abert, Miklos; Bergeron, Nicolas; Biringer, Ian; Gelander, Tsachik; Nikolov, Nikolay; Raimbault, Jean; Samet, Iddo
37
2017
A boundary criterion for cubulation. Zbl 1279.20051
Bergeron, Nicolas; Wise, Daniel T.
32
2012
On the growth of Betti numbers of locally symmetric spaces. Zbl 1223.53039
Abert, Miklos; Bergeron, Nicolas; Biringer, Ian; Gelander, Tsachik; Nikolov, Nikolay; Raimbault, Jean; Samet, Iddo
25
2011
Hyperplane sections in arithmetic hyperbolic manifolds. Zbl 1236.57021
Bergeron, Nicolas; Haglund, Frédéric; Wise, Daniel T.
22
2011
Tetrahedra of flags, volume and homology of SL(3). Zbl 1365.57023
Bergeron, Nicolas; Falbel, Elisha; Guilloux, Antonin
18
2014
Automorphic spectrum of hyperbolic manifolds and topological applications. Zbl 1098.11035
Bergeron, Nicolas; Clozel, Laurent
17
2005
Some consequences of Arthur’s work on the spectrum and topology of hyperbolic varieties. Zbl 1309.22014
Bergeron, Nicolas; Clozel, Laurent
12
2013
The first Betti number and the Laplace spectrum of certain hyperbolic manifolds. Zbl 0969.58009
Bergeron, Nicolas
11
2000
The Hodge conjecture and arithmetic quotients of complex balls. Zbl 1349.14031
Bergeron, Nicolas; Millson, John; Moeglin, Colette
10
2016
Torsion homology growth and cycle complexity of arithmetic manifolds. Zbl 1351.11031
Bergeron, Nicolas; Şengün, Mehmet Haluk; Venkatesh, Akshay
10
2016
Asymptotics of Betti numbers, \(l^ 2\)-invariants and laminations. Zbl 1061.55005
Bergeron, N.; Gaboriau, D.
10
2004
Lefschetz properties for arithmetic real and complex hyperbolic manifolds. Zbl 1036.11021
Bergeron, Nicolas
10
2003
Hodge type theorems for arithmetic hyperbolic manifolds. Zbl 1411.11054
Bergeron, Nicolas; Millson, John; Moeglin, Colette
7
2017
Local rigidity for \(\mathrm{PGL}(3,\mathbb C)\)-representations of 3-manifold groups. Zbl 1297.57047
Bergeron, Nicolas; Falbel, Elisha; Guilloux, Antonin; Koseleff, Pierre-Vincent; Rouillier, Fabrice
7
2013
A note on local rigidity. Zbl 1062.22028
Bergeron, N.; Gelander, T.
6
2004
The Noether-Lefschetz conjecture and generalizations. Zbl 1368.14051
Bergeron, Nicolas; Li, Zhiyuan; Millson, John; Moeglin, Colette
5
2017
On the growth of Betti numbers in \(p\)-adic analytic towers. Zbl 1298.55007
Bergeron, Nicolas; Linnell, Peter; Lück, Wolfgang; Sauer, Roman
4
2014
Automorphic Lefschetz properties for unitary and orthogonal groups. Zbl 1136.11038
Bergeron, Nicolas
4
2006
Restriction of the cohomology of a Shimura variety to its subvarieties. Zbl 1165.14021
Bergeron, N.
3
2009
Cohomologically isolated representations, cohomological applications. Zbl 1145.22008
Bergeron, N.
3
2008
Hodge type theorems for arithmetic manifolds associated to orthogonal groups. Zbl 1405.57039
Bergeron, Nicolas; Millson, John; Moeglin, Colette
2
2017
On the spectrum and the topology of congruence hyperbolic varieties: the complex and quaternionic cases. Zbl 1385.53025
Bergeron, Nicolas; Clozel, Laurent
2
2017
Exponents in Archimedean Arthur packets. Zbl 1276.22002
Bergeron, Nicolas; Clozel, Laurent
2
2013
The spectrum of hyperbolic surfaces. Zbl 1267.11001
Bergeron, Nicolas
2
2011
Transverse geodesic cycles on hyperbolic manifolds. Zbl 1033.57012
Bergeron, N.
2
2002
Tautological classes on moduli spaces of hyper-Kähler manifolds. Zbl 07078882
Bergeron, Nicolas; Li, Zhiyuan
1
2019
Torsion homology growth in arithmetic groups. Zbl 1422.11124
Bergeron, Nicolas
1
2018
On the cohomology of trialitary hyperbolic varieties of dimension 7. Zbl 1381.22013
Bergeron, Nicolas; Clozel, Laurent
1
2017
Twisted limit formula for torsion and cyclic base change. Zbl 1380.11075
Bergeron, Nicolas; Lipnowski, Michael
1
2017
The spectrum of hyperbolic surfaces. Translated from the French by Farrell Brumley. Zbl 1339.11061
Bergeron, Nicolas
1
2016
The conjecture of subgroups of surfaces (after Jeremy Kahn and Vladimir Marković). Zbl 1300.57014
Bergeron, Nicolas
1
2013
On the cohomology and the spectrum of locally symmetric manifolds. Zbl 1095.11030
Bergeron, Nicolas
1
2006
Asymptotique de la norme \(L^2\) d’un cycle géodésique dans les revêtements de congruence d’une variété hyperbolique arithmétique. (The asymptotics of the \(L^2\) norm of a geodesic cycle in the congruence tower above a hyperbolic arithmetic variety). Zbl 1021.53023
Bergeron, Nicolas
1
2002
Spectrum and homology of congruence complex hyperbolic manifolds. Zbl 1011.32020
Bergeron, Nicolas; Clozel, Laurent
1
2002
Tautological classes on moduli spaces of hyper-Kähler manifolds. Zbl 07078882
Bergeron, Nicolas; Li, Zhiyuan
1
2019
Torsion homology growth in arithmetic groups. Zbl 1422.11124
Bergeron, Nicolas
1
2018
On the growth of \(L^2\)-invariants for sequences of lattices in Lie groups. Zbl 1379.22006
Abert, Miklos; Bergeron, Nicolas; Biringer, Ian; Gelander, Tsachik; Nikolov, Nikolay; Raimbault, Jean; Samet, Iddo
37
2017
Hodge type theorems for arithmetic hyperbolic manifolds. Zbl 1411.11054
Bergeron, Nicolas; Millson, John; Moeglin, Colette
7
2017
The Noether-Lefschetz conjecture and generalizations. Zbl 1368.14051
Bergeron, Nicolas; Li, Zhiyuan; Millson, John; Moeglin, Colette
5
2017
Hodge type theorems for arithmetic manifolds associated to orthogonal groups. Zbl 1405.57039
Bergeron, Nicolas; Millson, John; Moeglin, Colette
2
2017
On the spectrum and the topology of congruence hyperbolic varieties: the complex and quaternionic cases. Zbl 1385.53025
Bergeron, Nicolas; Clozel, Laurent
2
2017
On the cohomology of trialitary hyperbolic varieties of dimension 7. Zbl 1381.22013
Bergeron, Nicolas; Clozel, Laurent
1
2017
Twisted limit formula for torsion and cyclic base change. Zbl 1380.11075
Bergeron, Nicolas; Lipnowski, Michael
1
2017
The Hodge conjecture and arithmetic quotients of complex balls. Zbl 1349.14031
Bergeron, Nicolas; Millson, John; Moeglin, Colette
10
2016
Torsion homology growth and cycle complexity of arithmetic manifolds. Zbl 1351.11031
Bergeron, Nicolas; Şengün, Mehmet Haluk; Venkatesh, Akshay
10
2016
The spectrum of hyperbolic surfaces. Translated from the French by Farrell Brumley. Zbl 1339.11061
Bergeron, Nicolas
1
2016
Tetrahedra of flags, volume and homology of SL(3). Zbl 1365.57023
Bergeron, Nicolas; Falbel, Elisha; Guilloux, Antonin
18
2014
On the growth of Betti numbers in \(p\)-adic analytic towers. Zbl 1298.55007
Bergeron, Nicolas; Linnell, Peter; Lück, Wolfgang; Sauer, Roman
4
2014
The asymptotic growth of torsion homology for arithmetic groups. Zbl 1266.22013
Bergeron, Nicolas; Venkatesh, Akshay
52
2013
Some consequences of Arthur’s work on the spectrum and topology of hyperbolic varieties. Zbl 1309.22014
Bergeron, Nicolas; Clozel, Laurent
12
2013
Local rigidity for \(\mathrm{PGL}(3,\mathbb C)\)-representations of 3-manifold groups. Zbl 1297.57047
Bergeron, Nicolas; Falbel, Elisha; Guilloux, Antonin; Koseleff, Pierre-Vincent; Rouillier, Fabrice
7
2013
Exponents in Archimedean Arthur packets. Zbl 1276.22002
Bergeron, Nicolas; Clozel, Laurent
2
2013
The conjecture of subgroups of surfaces (after Jeremy Kahn and Vladimir Marković). Zbl 1300.57014
Bergeron, Nicolas
1
2013
A boundary criterion for cubulation. Zbl 1279.20051
Bergeron, Nicolas; Wise, Daniel T.
32
2012
On the growth of Betti numbers of locally symmetric spaces. Zbl 1223.53039
Abert, Miklos; Bergeron, Nicolas; Biringer, Ian; Gelander, Tsachik; Nikolov, Nikolay; Raimbault, Jean; Samet, Iddo
25
2011
Hyperplane sections in arithmetic hyperbolic manifolds. Zbl 1236.57021
Bergeron, Nicolas; Haglund, Frédéric; Wise, Daniel T.
22
2011
The spectrum of hyperbolic surfaces. Zbl 1267.11001
Bergeron, Nicolas
2
2011
Restriction of the cohomology of a Shimura variety to its subvarieties. Zbl 1165.14021
Bergeron, N.
3
2009
Cohomologically isolated representations, cohomological applications. Zbl 1145.22008
Bergeron, N.
3
2008
Automorphic Lefschetz properties for unitary and orthogonal groups. Zbl 1136.11038
Bergeron, Nicolas
4
2006
On the cohomology and the spectrum of locally symmetric manifolds. Zbl 1095.11030
Bergeron, Nicolas
1
2006
Automorphic spectrum of hyperbolic manifolds and topological applications. Zbl 1098.11035
Bergeron, Nicolas; Clozel, Laurent
17
2005
Asymptotics of Betti numbers, \(l^ 2\)-invariants and laminations. Zbl 1061.55005
Bergeron, N.; Gaboriau, D.
10
2004
A note on local rigidity. Zbl 1062.22028
Bergeron, N.; Gelander, T.
6
2004
Lefschetz properties for arithmetic real and complex hyperbolic manifolds. Zbl 1036.11021
Bergeron, Nicolas
10
2003
Transverse geodesic cycles on hyperbolic manifolds. Zbl 1033.57012
Bergeron, N.
2
2002
Asymptotique de la norme \(L^2\) d’un cycle géodésique dans les revêtements de congruence d’une variété hyperbolique arithmétique. (The asymptotics of the \(L^2\) norm of a geodesic cycle in the congruence tower above a hyperbolic arithmetic variety). Zbl 1021.53023
Bergeron, Nicolas
1
2002
Spectrum and homology of congruence complex hyperbolic manifolds. Zbl 1011.32020
Bergeron, Nicolas; Clozel, Laurent
1
2002
The first Betti number and the Laplace spectrum of certain hyperbolic manifolds. Zbl 0969.58009
Bergeron, Nicolas
11
2000
all top 5

Cited by 268 Authors

17 Bergeron, Nicolas
8 Falbel, Elisha
8 Raimbault, Jean
7 Guilloux, Antonin
6 Bowen, Lewis Phylip
6 Clozel, Laurent
6 Gelander, Tsachik
6 Hagen, Mark F.
6 Levit, Arie
5 Moeglin, Colette
5 Pfaff, Jonathan
4 Abért, Miklós
4 Lück, Wolfgang
4 McReynolds, David Ben
4 Müller, Werner
4 Sauer, Roman
4 Şengün, Mehmet Haluk
4 Shin, Sug Woo
4 Venkatesh, Akshay
4 Wise, Daniel T.
3 Biringer, Ian
3 Glasner, Yair
3 Grigorchuk, Rostislav Ivanovich
3 Kionke, Steffen
3 Koseleff, Pierre-Vincent
3 Laza, Radu
3 Li, Zhiyuan
3 Lipnowski, Michael
3 Marshall, Simon
3 Millson, John J.
3 Müller, Werner G.
3 Nikolov, Nikolay Valeriev
3 Reid, Alan W.
3 Rouillier, Fabrice
3 Samet, Iddo
3 Stover, Matthew
3 Tamuz, Omer
3 Ueki, Jun
3 Wu, Chenyan
3 Zickert, Christian K.
2 Bader, Uri
2 Baik, Hyungryul
2 Beeker, Benjamin
2 Bismut, Jean-Michel
2 Brock, Jeffrey F.
2 Cooper, Daryl
2 Creutz, Darren
2 Deraux, Martin
2 Dimofte, Tudor Dan
2 Dunfield, Nathan M.
2 Emery, Vincent
2 Finis, Tobias
2 Friedl, Stefan
2 Goldman, William M.
2 Gondim, Rodrigo
2 Haïssinsky, Peter
2 Hartman, Yair
2 Huang, Jingyin
2 Jiang, Dihua
2 Kelmer, Dubi
2 Kleiner, Bruce
2 Kravchenko, Rostyslav V.
2 Lapid, Erez Moshe
2 Lazarovich, Nir
2 Le, Thang Tu Quoc
2 Linnell, Peter Arnold
2 Matei, Ana-Maria
2 Matte Bon, Nicolás
2 Matz, Jasmin
2 Nair, Arvind N.
2 O’Grady, Kieran G.
2 Page, Aurel
2 Py, Pierre
2 Rochon, Frédéric
2 Sarnak, Peter Clive
2 Scholze, Peter
2 Schwermer, Joachim
2 Shokrieh, Farbod
2 Shusterman, Mark
2 Sisto, Alessandro
2 Speh, Birgit
2 Templier, Nicolas
2 Thom, Andreas Berthold
2 Wu, Chenxi
2 Zalesskii, Pavel
1 Agol, Ian
1 Albin, Pierre
1 Arancibia, Nicolás
1 Ash, Avner
1 Baker, Mark D.
1 Ballas, Samuel A.
1 Bartel, Alex
1 Behrstock, Jason A.
1 Bekka, Mohammed el Bachir
1 Belolipetsky, Mikhail V.
1 Bestvina, Mladen
1 Björklund, Michael
1 Blomer, Valentin
1 Boileau, Michel Charles
1 Booher, Jeremy
...and 168 more Authors
all top 5

Cited in 73 Serials

14 Geometry & Topology
13 Duke Mathematical Journal
12 Geometric and Functional Analysis. GAFA
10 Israel Journal of Mathematics
10 Advances in Mathematics
8 Inventiones Mathematicae
8 Algebraic & Geometric Topology
7 Geometriae Dedicata
7 Mathematische Zeitschrift
7 Transactions of the American Mathematical Society
7 Journal of the Institute of Mathematics of Jussieu
7 Groups, Geometry, and Dynamics
6 Proceedings of the American Mathematical Society
6 Ergodic Theory and Dynamical Systems
5 Mathematische Annalen
5 Annals of Mathematics. Second Series
5 Journal of the European Mathematical Society (JEMS)
4 Commentarii Mathematici Helvetici
4 Compositio Mathematica
4 Bulletin of the American Mathematical Society. New Series
4 Experimental Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Annales de l’Institut Fourier
3 Journal of Number Theory
3 Journal für die Reine und Angewandte Mathematik
3 Manuscripta Mathematica
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Topology
3 Japanese Journal of Mathematics. 3rd Series
2 Journal of Functional Analysis
2 Advances in Applied Mathematics
2 Documenta Mathematica
2 Journal of High Energy Physics
2 Algebra & Number Theory
2 Forum of Mathematics, Sigma
2 Journal de l’École Polytechnique – Mathématiques
1 Bulletin of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
1 Letters in Mathematical Physics
1 Nuclear Physics. B
1 Mathematics of Computation
1 Acta Mathematica
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Canadian Mathematical Bulletin
1 Glasgow Mathematical Journal
1 Journal of the Mathematical Society of Japan
1 Memoirs of the American Mathematical Society
1 Topology and its Applications
1 Chinese Annals of Mathematics. Series B
1 Annals of Global Analysis and Geometry
1 International Journal of Mathematics
1 Differential Geometry and its Applications
1 L’Enseignement Mathématique. 2e Série
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Expositiones Mathematicae
1 Journal of Algebraic Geometry
1 Topology Proceedings
1 Journal de Théorie des Nombres de Bordeaux
1 Selecta Mathematica. New Series
1 Transformation Groups
1 Advanced Nonlinear Studies
1 Oberwolfach Reports
1 International Journal of Number Theory
1 Proceedings of the Steklov Institute of Mathematics
1 Journal of Noncommutative Geometry
1 Journal of Modern Dynamics
1 Journal of Topology and Analysis
1 Research in the Mathematical Sciences
1 Winter Braids Lecture Notes

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.