Nicolás MATTE BON

Chargé de recherche CNRS
Institut Camille Jordan (ICJ) - Université Lyon 1
Equipe Algèbre, Géométrie, Logique (AGL)

E-mail: mxttxbxn(at)math(dot)univ-lyon1(dot)fr (replace x)

About me

My research focuses on various aspects of infinite groups with an emphasis on interactions with dynamics. Here is a short CV:

• Sep 2013-Aug 2016: Ph.D. at ENS Paris and Universitat Université Paris Sud-Orsay, under the direction of Anna Erschler.
• Sep 2016 - Aug 2019: Postdoc at ETH Zürich, under the mentorship of Marc Burger
• Sep 2019- Jan 2020: Postdoc at EPF Lausannne, in the chair of Nicolas Monod
• Feb 2020-present: CNRS researcher affiliated to the Institut Camille Jordan in Lyon
  

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  Publications and preprints

  • Confined subgroups and high transitivity (with A. Le Boudec )
    Preprint (2020) arXiv pdf
  • A commutator lemma for confined subgroups and applications to groups acting on rooted trees (with A. Le Boudec )
    Preprint (2020) arXiv pdf
  • Triple transitivity and non-free actions in dimension one (with A. Le Boudec )
    Preprint (2019) arXiv pdf
  • Groups of piecewise linear homeomorphisms of flows (with M. Triestino )
    Compositio Mathematica, 156, no. 8 (2020) 1595–1622. free journal pdf | arXiv pdf
  • Property FW, differentiable structures, and smoothability of singular actions (with Y. Lodha and M. Triestino )
    Journal of Topology 13, no. 3 (2020) journal pdf | arXiv pdf
  • Rigidity properties of full groups of pseudogroups over the Cantor set
    (A previous version was entitled: Rigidity of graphs of germs and homomorphisms between full groups)
    Preprint (2018) arXiv pdf
  • Locally compact groups whose ergodic or minimal actions are all free (with A. Le Boudec )
    International Mathematics Research Notices, Vol. 2020, Issue 11, June 2020, 3318–3340 journal pdf | arXiv pdf
  • Realizing uniformly recurrent subgroups (with T. Tsankov )
    Ergodic Theory and Dynamical Systems, Vol. 40, Issue 2, February 2020 , pp. 478-489 journal pdf | arXiv pdf
  • A remark on groups defined by slowly growing trees (appendix to Groups with minimal harmonic functions as small as you like by G. Amir and G. Kozma)
    Preprint (2016) arXiv pdf.
  • Subgroup dynamics and C^*-simplicity of groups of homeomorphisms (with A. Le Boudec )
    Annales Scientifiques de l'École Normale Supérieure 51 (2018), no. 3, 557-602 journal pdf | arXiv pdf
  • Full groups of bounded automaton groups
    Journal of Fractal Geometry 4 (2017), no. 4, 425–458 journal pdf | arXiv pdf | MathSciNet
  • Extensive amenability and an application to interval exchanges (with K. Juschenko , N. Monod , M. de la Salle )
    Ergodic Theory and Dynamical Systems 38 (2018), no. 1, 195–219 journal pdf | arXiv pdf | MathSciNet | video
  • Topological full groups of minimal subshifts with subgroups of intermediate growth
    Journal of Modern Dynamics 9 (2015), 67–80 journal pdf | arXiv pdf | MathSciNet
  • Subshifts with slow complexity and simple groups with the Liouville property
    Geometric and Functional Analysis 24 (2014), no. 5, 1637–1659 journal pdf | arXiv pdf | MathSciNet
  • The Liouville property for groups acting on rooted trees (with G. Amir , O. Angel , B. Virág )
    Annales de l'Institut Henri Poincaré Probab. Statist. 52, no 4 (2016), 1763-1783. journal pdf | arXiv pdf | MathSciNet
  
  

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  Thesis

  • Propriété de Liouville, entropie, et moyennabilité des groupes dénombrables
    Defended on March 31 2016 at École Normale Supérieure | pdf

  
  

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  Teaching archives

  • Spring 2019: Groups acting on the circle , ETH
  • Spring 2018: Student seminar "Growth of groups", ETH
  • 2014-2015 et 2015-2016 : TD du cours de Systèmes Dynamiques à l'ENS (voici les feuilles de TD).
  
  

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  Other links

  • ANR GAMME
  • ANR Gromeov .
  • Avec Selim Ghazouani, on a organisé en 2015 un groupe de travail sur le Théoreme de super-rigidité de Margulis. Les vidéos des exposés sont disponibles ici.