PUBLICATIONS MATHÉMATIQUES DE L'IHES

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Memorial Article
Hommage à Nicolas Bergeron
Publications Mathématiques de l'IHÉS, Volume 139 (2024), pp. 1-11
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DOI: 10.1007/s10240-024-00149-7

Laurent Clozel ; Tsachik Gelander ; Alan Reid ; Akshay Venkatesh ; Daniel Wise ; Sébastien Boucksom 1

1 
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     author = {Laurent Clozel and Tsachik Gelander and Alan Reid and Akshay Venkatesh and Daniel Wise and S\'ebastien Boucksom},
     title = {Hommage \`a {Nicolas} {Bergeron}},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {1--11},
     year = {2024},
     publisher = {Springer International Publishing},
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     url = {https://pmihes.centre-mersenne.org/articles/10.1007/s10240-024-00149-7/}
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Laurent Clozel; Tsachik Gelander; Alan Reid; Akshay Venkatesh; Daniel Wise; Sébastien Boucksom. Hommage à Nicolas Bergeron. Publications Mathématiques de l'IHÉS, Volume 139 (2024), pp. 1-11. doi: 10.1007/s10240-024-00149-7

[ABBG23.] M. Abert; N. Bergeron; I. Biringer; T. Gelander Convergence of normalized Betti numbers in nonpositive curvature, Duke Math. J., Volume 172 (2023), pp. 633-700 | MR | Zbl | DOI

[A+11.] M. Abert; N. Bergeron; I. Biringer; T. Gelander; N. Nikolov; J. Raimbault; I. Samet On the growth of Betti numbers of locally symmetric spaces, C. R. Math. Acad. Sci. Paris, Volume 349 (2011), pp. 831-835 | MR | DOI | Zbl

[A+12.] M. Abert, N. Bergeron, I. Biringer, T. Gelander, N. Nikolov, J. Raimbault and I. Samet, On the growth of L 2 -invariants for sequences of lattices in Lie groups. Preprint, | arXiv | MR

[A+17.] M. Abert; N. Bergeron; I. Biringer; T. Gelander; N. Nikolov; J. Raimbault; I. Samet On the growth of L 2 -invariants for sequences of lattices in Lie groups, Ann. Math. (2), Volume 185 (2017), pp. 711-790 | MR | Zbl | DOI

[A+20.] M. Abert; N. Bergeron; I. Biringer; T. Gelander; N. Nikolov; J. Raimbault; I. Samet On the growth of L 2 -invariants of locally symmetric spaces, II : exotic invariant random subgroups in rank one, Int. Math. Res. Not., Volume 9 (2020), pp. 2588-2625 | MR | Zbl | DOI

[Ber00.] N. Bergeron, Cycles géodésiques dans les variétés hyperboliques, Thèse, 2000

[Ber03.] N. Bergeron Lefschetz properties for arithmetic real and complex hyperbolic manifolds, Int. Math. Res. Not., Volume 20 (2003), pp. 1089-1122 | MR | DOI | Zbl

[Ber04.] N. Bergeron Produits dans la cohomologie des variétés de Shimura : quelques calculs, C. R. Math. Acad. Sci. Paris, Volume 339 (2004), pp. 751-756 | MR | DOI | Zbl

[Ber06.] N. Bergeron, Propriétés de Lefschetz automorphes pour les groupes unitaires et orthogonaux, Mém. Soc. Math. Fr., 106 (2006). | MR | Numdam

[Ber18.] N. Bergeron, Hodge theory and cycle theory of locally symmetric spaces, in Proc. Int. Cong. of Math. 2018, vol. 2, pp. 849–876, Rio de Janeiro. | MR

[BCG23.] N. Bergeron, P. Charollois and L. E. Garcia, Elliptic units for complex cubic fields. Preprint, | arXiv

[BC05.] N. Bergeron; L. Clozel Spectre Automorphe des Variétés Hyperboliques et Applications Topologiques, 2005 | MR | Zbl | Numdam

[BC13.] N. Bergeron; L. Clozel Quelques conséquences des travaux d’Arthur pour le spectre et la topologie des variétés hyperboliques, Invent. Math., Volume 192 (2013), pp. 505-532 | MR | Zbl

[BC17.] N. Bergeron; L. Clozel Sur la cohomologie des variétés hyperboliques de dimension 7 trialitaires, Isr. J. Math., Volume 222 (2017), pp. 333-400 | DOI | MR | Zbl

[BG04.] N. Bergeron; T. Gelander A note on local rigidity, Geom. Dedic., Volume 107 (2004), pp. 111-131 | MR | Zbl | DOI

[BSV16.] N. Bergeron; M. H. Şengün; A. Venkatesh Torsion homology growth and cycle complexity of arithmetic manifolds, Duke Math. J., Volume 265 (2016), pp. 1629-1693 | MR | Zbl

[BV13.] N. Bergeron; A. Venkatesh The asymptotic growth of torsion homology for arithmetic groups, J. Inst. Math. Jussieu, Volume 12 (2013), pp. 391-447 | MR | Zbl | DOI

[SG10.] H. Paul de Saint-Gervais Uniformisation des Surfaces de Riemann, ENS. Éditions, Lyon, 2010 | MR | Zbl

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