Mikael de la Salle

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

Spending the academic year 2023-2024 at the Institute for Advanced Study in Princeton, USA.

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

Research

My research area is Functional analysis. 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.

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

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: november 2022).

• The height of increasing trees (with Nicolas Broutin, Luc Devroye and Erin 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 Javier Parcet and Éric Ricard)
  Duke Mathematical Journal 171 (2022), no. 6, 1235-1297. Journal version, Preprint.
• Non-standard limits of graphs and some orbit equivalence invariants (with Alessandro Carderi and Damien Gaboriau)
  Annales Henri Lebesgue 4 (2021), 1235-1293. Journal version (open access), Preprint.
• Cayley graphs with few automorphisms (with Paul-Henry 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)
  Compositio Mathematica 159 (2023), no. 6, 1300-1313. Journal version, Preprint.
• Cayley graphs with few automorphisms: the case of infinite groups (with Paul-Henry Leemann)
  Annales Henri Lebesgue 5 (2022), 73-92. Journal version (open access), Preprint.
• Strong Property (T), weak amenability and lp-cohomology in A2-buildings (with Jean Lécureux and Stefan Witzel)
  to appear in Annales Scientifiques de l'École Normale Supérieure (2023). Preprint.
• A duality operators/Banach spaces (submitted). Preprint.
• Orthogonalization of Positive Operator Valued Measures
  Comptes Rendus - Mathématique 360 (2022) 549-560. Journal Version (open access), Preprint.
• Most rigid representation and Cayley index of finitely generated groups (with Paul-Henri Leemann) accepted to Electronic journal of combinatorics Preprint.
• Spectral gap and stability for groups and non-local games Preprint.
• Actions of higher rank groups on uniformly convex Banach spaces (with Tim de Laat) (submitted). Preprint.

Other texts

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