Mikael de la Salle

CNRS senior researcher (Directeur de recherche) in Lyon, at Institut Camille Jordan.

delasalle  @  math.univ-lyon1.fr
Office: 105

Research

My research area is between Functional Analysis and Group Theory. Formerly worked in Paris (2006-2010) at Institut de Mathétiques de Jussieu and DMA, in Besançon (2010-2013) at Laboratoire de Mathématiques de Besançon and at the École Normale Supérieure de Lyon (2013-2021) at UMPA. I spent the academic year 2023-2024 at the Institute for Advanced Study in Princeton, USA.

Editorial activity

I am in the editorial board of the following journals

• 2020- Confluentes Mathematici, a free open access generalist mathematics journal published by the Centre Mersenne and the University of Lyon. Confluentes Mathematici is a diamond open access journal (no fee for the reader to read and the author to publish). It is funded by public research institutions (University Grenoble Alpes and CNRS through the Centre Mersenne).
• 2021- Mathematische Zeitschrift.
• 2021- La Gazette de la Société mathématique de France (formerly La Gazette des Mathématiciens).
• 2025- Proceedings of the London Mathematical Society.

• 2021-2024 Journal of Functional Analysis.

Reading webinar on the Connes-Kirchberg-Tsirelson problem

In spring 2020, together with Guillaume Aubrun (ICJ) and Omar Fawzi (LIP), we have been organizing a working group on the Connes-Kirchberg-Tsirelson problem and the announcement of its resolution in the negative by Zhengfeng Ji, Anand Natarajan, Thomas Vidick, John Wright and Henry Yuen. More information here.

Publications

All my papers but the first are on arXiv. Below is a direct link to them (last updated: February 2025).

1. The height of increasing trees (with Nicolas Broutin, Luc Devroye and Erin McLeish)
   Random Structures and Algorithms, 32 (2008) 494-518. Journal, arXiv.
2. Complete isometries between subspaces of noncommutative Lp-spaces
   Journal of Operator Theory, 64 (2010), no. 2, 265-298. Journal, arXiv.
3. Strong Haagerup inequalities with operator coefficients
   Journal of Functional Analysis, 257 (2009), no. 12, 3968-4002. Journal, arXiv.
4. Operator space valued Hankel matrices, submitted arXiv.
5. Non commutative Lp spaces without the completely bounded approximation property (with Vincent Lafforgue)
   Duke Mathematical Journal, 160 (2011), no. 1, 71-116. Journal, arXiv.
6. Schur and Fourier multipliers of an amenable group acting on non-commutative Lp-spaces (with Martijn Caspers)
   Trans. Amer. Math. Soc. 367 (2015), no. 10, 6997-7013. Journal, arXiv.
7. Extensions of amenable groups by recurrent groupoids (with Kate Juschenko and Volodymyr Nekrashevych)
   Invent. Math. 206 (2016), 837-867. Journal, arXiv.
8. Invariant means of the wobbling group (with Kate Juschenko)
   Bull. Belg. Math. Soc. Simon Stevin 22 (2015), no. 2, 281-290. Journal, arXiv.
9. Towards strong Banach property (T) for SL(3,R)
   Israel J. Math. 211 (2016), no. 1, 105-145. Journal, arXiv.
10. Strong property (T) for higher rank Lie groups (with Tim de Laat)
    Proc. Lond. Math. Soc. (3) 111 (2015), no. 4, 936-966. Journal, arXiv.
11. Approximation properties for noncommutative $L^p$-spaces of high rank lattices and nonembeddability of expanders (with Tim de Laat)
    J. Reine Angew. Math. 737 (2018), 46-69, Journal, arXiv.
12. Complete boundedness of the Heat Semigroups on the von Neumann Algebra of hyperbolic groups (with Tao Mei)
    Trans. Amer. Math. Soc. 369 (2017), 5601-5622. Journal, arXiv.
13. Extensive amenability and an application to interval exchanges (with Kate Juschenko, Nicolás Matte Bon, Nicolas Monod)
    Ergodic Theory Dynam. Systems. 38 (2018), 195-219. Journal, arXiv.
14. On strong property (T) and fixed point properties for Lie groups (with Tim de Laat, Masato Mimura)
    Ann. Inst. Fourier (Grenoble) 66 (2016), no. 5, 1859-1893. Journal, arXiv.
15. Characterizing a vertex-transitive graph by a large ball (with Romain Tessera)
    J. Topol. 12 (2019), no. 3, 705-743. Journal, arXiv.
16. Local-to-global rigidity of Bruhat-Tits buildings (with Romain Tessera)
    Illinois J. Math. 60 (2016), no. 3-4, 641-654. Journal, arXiv.
17. On norms taking integer values on the integer lattice
    C. R. Math. Acad. Sci. Paris 354 (2016), no. 6, 611-613. Journal (open access), arXiv.
18. A local characterization of Kazhdan projections and applications
    Comment. Math. Helv. 94 (2019), no. 3, 623-660. Journal, arXiv.
19. Banach space actions and L2-spectral gap (with Tim de Laat)
    Anal. PDE 14 (2021), no. 1, 45-76. Journal, arXiv.
20. Strong property (T) for higher rank lattices
    Acta Math. 223 (2019), no. 1, 151-193. Journal (open access), arXiv.
21. Fourier multipliers in SLn(R) (with Javier Parcet and Éric Ricard)
    Duke Mathematical Journal 171 (2022), no. 6, 1235-1297. Journal, arXiv.
22. Non-standard limits of graphs and some orbit equivalence invariants (with Alessandro Carderi and Damien Gaboriau)
    Annales Henri Lebesgue 4 (2021), 1235-1293. Journal (open access), arXiv.
23. Cayley graphs with few automorphisms (with Paul-Henry Leemann)
    Journal of Algebraic Combinatorics 53 (2021), no. 4, 1117-1146. Journal, arXiv.
24. Isometric actions on Lp-spaces: dependence on the value of p (with Amine Marrakchi)
    Compositio Mathematica 159 (2023), no. 6, 1300-1313. Journal, arXiv.
25. Cayley graphs with few automorphisms: the case of infinite groups (with Paul-Henry Leemann)
    Annales Henri Lebesgue 5 (2022), 73-92. Journal (open access), arXiv.
26. Strong Property (T), weak amenability and lp-cohomology in A2-buildings (with Jean Lécureux and Stefan Witzel)
    Annales Scientifiques de l'École Normale Supérieure 57 (2024) no. 5, 1371-1444. Journal, arXiv.
27. A duality operators/Banach spaces
    Annales de l'Institut Fourier, to appear. arXiv.
28. Orthogonalization of Positive Operator Valued Measures
    Comptes Rendus - Mathématique 360 (2022) 549-560. Journal Version (open access), arXiv.
29. Most rigid representation and Cayley index of finitely generated groups (with Paul-Henri Leemann)
    Electron. J. Combin. 29 (2022), no. 4, Paper No. 4.40, 9 pp. Journal (open access), arXiv.
30. Spectral gap and stability for groups and non-local games, submitted arXiv.
31. Actions of higher rank groups on uniformly convex Banach spaces (with Tim de Laat) (submitted). arXiv.
32. Almost synchronous correlations and Tomita-Takesaki theory (with Amine Marrakchi), submitted arXiv.
33. The local geometry of idempotent Schur multipliers (with Javier Parcet and Eduardo Tablate), submitted arXiv.
34. SL4(Z) is not purely matricial field (with Michael Magee)
    Comptes Rendus - Mathématique 362 (2024) 903-910. Journal Version (open access) arXiv.
35. Strong asymptotic freeness of Haar unitaries in quasi-exponential dimensional representations (with Michael Magee) arXiv.
36. Subexponential growth and C1 actions on one-manifolds (with Sang-hyun Kim, Nicolás Matte Bona and Michele Triestino), submitted arXiv.

Other texts

Raconte moi... la propriété (T)
Gazette des Mathématiciens 150 (2016), 57-61.