Mikael de la Salle

French version

mikael.de.la.salle  @  ens-lyon.fr
Office: Nord 495
Phone: +33 4 72 72 89 25

Research

My research area is Functional analysis.

Editorial activity

I am part of 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- Journal of Functional Analysis.
• 2021- Mathematische Zeitschrift.
• 2021- La Gazette des Mathématiciens.

Reading webinar on the Connes-Kirchberg-Tsirelson problem

With Guillaume Aubrun (ICJ) and Omar Fawzi (LIP), we are 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 one are on arXiv. Below is a direct link to them (last updated: may 2021).

• The height of increasing trees (with N. Broutin, L. Devroye and E. McLeish), Random Structures and Algorithms, 32 (2008) 494-518. Journal version, Preprint.
• Complete isometries between subspaces of noncommutative Lp-spaces, Journal of Operator Theory, 64 (2010), no. 2, 265-298. Journal version, Preprint.
• Strong Haagerup inequalities with operator coefficients, Journal of Functional Analysis, 257 (2009), no. 12, 3968-4002. Journal version, Preprint.
• Operator space valued Hankel matrices, submitted Preprint.
• Non commutative Lp spaces without the completely bounded approximation property (with Vincent Lafforgue), Duke Mathematical Journal, 160 (2011), no. 1, 71-116. Journal version, Preprint.
• 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 version, Preprint.
• Extensions of amenable groups by recurrent groupoids (with Kate Juschenko and Volodymyr Nekrashevych), Invent. Math. 206 (2016), 837-867. Journal version, Preprint.
• Invariant means of the wobbling group (with Kate Juschenko), Bull. Belg. Math. Soc. Simon Stevin 22 (2015), no. 2, 281-290. Journal version, Preprint.
• Towards strong Banach property (T) for SL(3,R), Israel J. Math. 211 (2016), no. 1, 105-145. Journal version, Preprint.
• Strong property (T) for higher rank Lie groups (with Tim de Laat) Proc. Lond. Math. Soc. (3) 111 (2015), no. 4, 936-966. Journal version, Preprint.
• 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 version, Preprint.
• 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 version, Preprint.
• 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 version, Preprint.
• 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 version, Preprint.
• Characterizing a vertex-transitive graph by a large ball (with Romain Tessera) J. Topol. 12 (2019), no. 3, 705-743. Journal version, Preprint.
• Local-to-global rigidity of Bruhat-Tits buildings (with Romain Tessera) Illinois J. Math. 60 (2016), no. 3-4, 641-654. Journal version, Preprint.
• On norms taking integer values on the integer lattice C. R. Math. Acad. Sci. Paris 354 (2016), no. 6, 611-613. Journal version (open access)), --> Preprint.
• A local characterization of Kazhdan projections and applications Comment. Math. Helv. 94 (2019), no. 3, 623-660. Journal version, Preprint.
• Banach space actions and L2-spectral gap (with Tim de Laat) Anal. PDE 14 (2021), no. 1, 45-76. Journal version, Preprint.
• Strong property (T) for higher rank lattices Acta Math. 223 (2019), no. 1, 151-193. Journal version (open access), Preprint.
• Fourier multipliers in SLn(R) (with J. Parcet et E. Ricard) accepted in Duke Mathematical Journal (2021). Preprint.
• Non-standard limits of graphs and some orbit equivalence invariants (with A. Carderi and D. Gaboriau) accepted in Annales Henri Lebesgue (2021). Preprint.
• Cayley graphs with few automorphisms (avec P.-H. Leemann) Journal of Algebraic Combinatorics 53 (2021), no. 4, 1117-1146. Journal version, Preprint.
• Isometric actions on Lp-spaces: dependence on the value of p (with Amine Marrakchi) (submitted). Preprint.
• Cayley graphs with few automorphisms: the case of infinite groups (with Paul-Henri Leemann) accepted in Annales Henri Lebesgue (2021). Preprint.
• Strong Property (T), weak amenability and lp-cohomology in A2-buildings (with Jean Lécureux and Stefan Witzel) (submitted). Preprint.
• A duality operators/Banach spaces (submitted). Preprint.
• Orthogonalization of Positive Operator Valued Measures. Preprint.
• Most rigid representation and Cayley index of finitely generated groups (with Paul-Henri Leemann) Preprint.

Other texts

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