Nicolas Bergeron
Nicolas Bergeron (born December 19, 1975 ) is a French mathematician.
Life
Bergeron studied from 1994 to 1998 at the École normal supérieure de Lyon , where he received his doctorate in 2000 under Jean-Pierre Otal (Cycles géodésiques dans les variétés hyperboliques). As a post-doctoral student he was in Zurich and Neuchatel. In 2001 he became Chargé de Recherche at the University of Paris South, where he completed his habilitation in 2005 (Sur la cohomologie et le specter des variétés localement symétriques) and in 2005 at the École Normale Supérieure in Paris. In 2006 he became a professor at the University of Paris VI (Pierre et Marie Curie).
It deals with the geometry and topology of locally symmetric spaces and arithmetic groups and their spectra and cohomology ..
In 2010 he became a junior member of the Institut Universitaire de France and in 2007 he received the bronze medal of the CNRS. For 2018 he is invited speaker at the International Congress of Mathematicians in Rio de Janeiro.
He is a member of a group of mathematicians (including Étienne Ghys , among others ) that published under the pseudonym Henri Paul de Saint-Gervais (Uniformisation des surfaces de Riemann, ENS 2010).
Fonts
Books
- Les specters des surfaces hyperboliques, EDP Sciences 2011
- Propriétés de Lefschetz automorphes pour les groupes unitaires et orthogonaux, Mémoires de la SMF 106 (2006).
- with Laurent Clozel : Specter automorphhe des variétés hyperboliques et applications topologique, Société mathématique de France, 2005
Work (selection)
- with Daniel Wise : A Boundary Criterion for Cubulation, American Journal of Mathematics, Volume 134, 2012, pp. 843-885
- with Laurent Clozel: Quelques conséquences des travaux d'Arthur pour le specter et la topologie des variétés hyperboliques, Inventiones Mathematicae, June 2013, Volume 192, Issue 3, pp. 505-532
- with John Millson and Colette Moeglin : The Hodge conjecture and arithmetic quotients of complex balls, Acta Math. 216 (2016), no. 1, 1–125.
- Torsion homology growth in arithmetic groups, in the proceedings of 7ECM
- with Zhiyuan Li , Millson and Moeglin: The Noether-Lefschetz conjecture and generalizations, Inventiones Mathematicae 208 (2017)
- with Miklós Abért , Ian Biringer , Tsachik Gelander , Nikolay Nikolov , Jean Raimbault , Iddo Samet: On the growth of L 2 -invariants for sequences of lattices in Lie groups, Annals of Mathematics, Volume 185 (2017), Issue 3, p. 711-790
Popularization (selection)
- Comprendre les espaces de dimension 3, La Recherche, February 2015
Web links
Individual evidence
- ↑ Nicolas Bergeron in the Mathematics Genealogy Project (English)
| personal data | |
|---|---|
| SURNAME | Bergeron, Nicolas |
| BRIEF DESCRIPTION | French mathematician |
| DATE OF BIRTH | 19th December 1975 |