François Le Maître

François Le Maître

Bureau: 232, aile A, bâtiment Mirande Mail: flemaitre @ math.cnrs.fr Tel: 03 80 39 90 59 Institut de Mathématiques de Bourgogne 9 avenue Alain Savary BP 47870 21078 Dijon

Je suis professeur de mathématiques à l'IMB au sein de l'équipe GADT.
J'effectue mes enseignements à Polytech Dijon (anciennement ESIREM).

Évènements

Groupe de travail de théorie ergodique.
Rencontre sur l'équivalence orbitale à Besse-en-Chandesse du 8 au 12 juillet 2024.
Soutenance d'HDR le 14 mars 2024 à 16h00, salle 1009, bâtiment Sophie Germain. Suivie d'une matinée de groupes et dynamique le 15 mars de 9h00 à 12h30.
Workshop on Operator algebras and group dynamics in Paris, June 8-12 2020.
Geometry and Polish groups at the CIRM, May 18-22 2020.
Arbre de Noël 2019 du GDR de géométrie non commutative à Paris 7, du 17 au 19 décembre 2019.
Polish groups and geometry in Paris, June 6-8 2016.

Enseignements

Cours et TD de Maths 3, partie analyse, au premier semestre.
Cours et TD de Maths 4, partie analyse, au second semestre. Plus d'infos à venir.

Research

On the space of subgroups of Baumslag-Solitar groups II: High transitivity (with Damien Gaboriau and Yves Stalder),
preprint. arXiv, pdf.
Michael's selection theorem and applications to the Maréchal topology (with Pierre Fima, Issan Patri and Kunal Mukherjee),
preprint. arXiv, pdf.
Spatial models for boolean actions in the infinite measure-preserving setup (with Fabien Hoareau),
submitted. arXiv, pdf.
On dense orbits in the space of subequivalence relations,
preprint. arXiv, pdf.
Polish groups and non-free actions in the discrete or measurable context,
HDR (habilitation thesis), defended on March 14 2024. pdf, slides from the defense.
L¹ full groups of flows (with Konstantin Slutsky),
submitted. arXiv, pdf.
Classification of non-free p.m.p. boolean actions of ergodic full groups and applications (with Alessandro Carderi and Alice Giraud),
submitted. arXiv, pdf.
On the space of subgroups of Baumslag-Solitar groups I: perfect kernel and phenotype (with Alessandro Carderi, Damien Gaboriau and Yves Stalder),
submitted. arXiv, pdf, and its companion webpage.
Belinskaya's theorem is optimal (with Alessandro Carderi, Matthieu Joseph and Romain Tessera),
Fundamenta Mathematicae 263 (2023), pp. 51-90. arXiv, DOI, pdf.
On dense totipotent free subgroups in full groups (with Alessandro Carderi and Damien Gaboriau),
Geometry and Topology 27 (2023), pp. 2297–2318 . arXiv, DOI, pdf.
Polish topologies on groups of non-singular transformations,
Journal of Logic and Analysis, 14:4 (2022), 15 pp. arXiv, DOI, pdf.
A characterization of high transitivity for groups acting on trees (with Pierre Fima, Soyoung Moon and Yves Stalder),
Discrete Analysis 8:2022, 63 pp. arXiv, DOI, pdf.
Homogeneous actions on Urysohn spaces (with Pierre Fima, Julien Melleray and Soyoung Moon),
Colloquium Mathematicum 167 (2022), pp. 21-61. arXiv, DOI, pdf.
Quantitative measure equivalence between amenable groups (with Thiebout Delabie, Juhani Koivisto and Romain Tessera),
Annales Henri Lebesgue 5 (2022), pp. 1417-1487. arXiv, DOI, pdf.
Un exposé confiné centré sur le profil isopérimétrique, le tableau. Et le making-of !
Dense locally finite subgroups of automorphism groups of ultraextensive spaces (with Mahmood Etedadialiabadi, Su Gao and Julien Melleray),
Advances in Mathematics, 391 (2021), 42 pp. arXiv, DOI, pdf.
On a measurable analogue of small topological full groups II,
Ann. Inst. Fourier 71, nr. 5 (2021), pp. 1885-1927. arXiv, DOI, pdf.
Bounded normal generation is not equivalent to topological bounded normal generation (with Philip A. Dowerk),
Extracta Mathematicae 34, Nr. 1 (2019), pp. 85-97. DOI, arXiv, pdf.
On a measurable analogue of small topological full groups,
Advances in Mathematics, 332 (2018), pp. 235-296. DOI, arXiv, pdf.
Some related slides on the L1 full groups defined therein and a video.
Highly faithful actions and dense free subgroups in full groups,
Groups, Geometry and Dynamics 12 (2018), pp. 207-230. DOI, arXiv, pdf.
Examples of normal compression, appendix to Chief factors in Polish groups by Colin Reid and Phillip Wesolek.
accepted for publication in Math. Proc. Cambridge Philos. Soc.DOI, arXiv.
Orbit full groups for locally compact groups (with Alessandro Carderi),
Transactions of the AMS, 370 (2018), pp. 2321-2349. DOI, arXiv, pdf.
On strongly just infinite profinite branch groups (with Phillip Wesolek),
Journal of group theory 20, Nr. 1 (2017), pp. 1-32. DOI, arXiv, pdf.
Infinitesimal generators and quasi non-archimedean topological groups (with Tsachik Gelander),
Topol. Appl. 218 (2017), pp. 97-113. DOI, arXiv, pdf.
Connected Polish groups with ample generics (with Adriane Kaïchouh),
Bull. London Math. Soc. 47, Nr. 6 (2015) : 996-1009. DOI, arXiv, pdf.
More Polish full groups (with Alessandro Carderi),
Topol. Appl. 202 (2016), pp. 80-105. DOI, arXiv, pdf.
On full groups of non ergodic probability measure preserving equivalence relations,
Ergodic Theory Dyn. Syst. 36, Nr. 7 (2016), pp. 2218-2245. DOI, arXiv, pdf.
The number of topological generators for full groups of ergodic equivalence relations,
Invent. Math. 198, Nr. 2 (2014), pp. 261-268. DOI, arXiv, pdf.
Some related slides on topological generators in full groups.
Sur les groupes pleins préservant une mesure de probabilité,
Thèse sous la direction de Damien Gaboriau et Julien Melleray. TEL, pdf.
Slides de la soutenance.

Survey work

La propriété (T) pour les groupes polonais Roelcke précompacts, d'après Ibarlucía, s'appuyant sur des travaux de Ben Yaacov et Tsankov. Voici également l'enregistrement de l'exposé.
Elementary totally disconnected locally compact groups, after Wesolek, with Morgan Cesa.

Notes

Encadrement

Coencadrement de la thèse en cours de Corentin Correia avec Romain Tessera.
Stage de M2 de Corentin Correia, Équivalence orbitale de Shannon.
Coencadrement de la thèse en cours de Fabien Hoareau avec Pierre Fima.
Coencadrement de la thèse d'Alice Giraud avec Todor Tsankov, Classification of measure-preserving actions of invariant random subgroups and model theory.
Stage de M2 de Frédérique Fairier, Geometric group theory on the commensurating symmetric group.
Stage de M2 de Fabien Hoareau, Sur la propriété (T) de Kazhdan pour les groupoïdes mesurés issus d’actions de groupes.
Stage de M2 d'Alice Giraud, Model theory for pmp hyperfinite actions.

Perso

Les archives complètes d'un blog que j'ai tenu de 2007 à 2009 sur Blogspot.

François Le Maître

Évènements

Enseignements

Archives

Research

Survey work

Notes

Encadrement

Perso