Curriculum Vitae

Research interests

- the solution of the ``Cercignani conjecture'', a functional inequality relating the entropy and the entropy production for the Boltzmann equation (partially joint with Giuseppe Toscani);

- the solution of a conjecture by P.-L. Lions, about the regularizing effects of grazing collisions in the Boltzmann equation, and the extension of the DiPerna-Lions theory to singular collision kernels (joint with Radjesvarane Alexandre);

- the first explicit estimates of convergence to equilibrium for very smooth solutions of the Boltzmann equation, witout any assumption of smallness or linearization.

Then I led researches at a crosspoint between probability, functional analysis and partial differential equations: logarithmic Sobolev inequalities, functional concentration of measure, optimal transport, Wasserstein distances, information theory. Among my main results in this field:

- the discovery of tight links between some concentration inequalities due to Talagrand, logarithmic Sobolev inequalities and diffusion equations (joint with Felix Otto); these works have been taken over and extended by many people.

- a new proof of optimal Sobolev inequalities and certain Gagliardo-Nirenberg interpolation inequalities, based on optimal transport (joint with Dario Cordero-Erausquin and Bruno Nazaret). I developed further these works with Francesco Maggi, which led us to the solution of an old open problem of Brézis and Lieb about optimal trace Sobolev inequalities.

- a synthetic definition of Ricci curvature lower bounds in metric-measure length spaces, the proof of stability for this definition, and its use to generalize various results from Riemannian geometry (joint with John Lott; closely related results were obtained independently by Karl-Theodor Sturm).

In collaboration with Emanuele Caglioti, José Carrillo, Irene Gamba, Robert McCann et Vladislav Panferov, I obtained various results about qualitative properties of kinetic equations of granular media; for instance the existence of equilibrium distributions with anomalously thick tails for a model of inelastic diffusive hard spheres, as conjectured by the physicist Matthieu Ernst.

In collaboration with Clément Mouhot, I established Landau damping in the perturbative nonlinear régime.

In collaboration with Alessio Figalli, Grégoire Loeper and Ludovic Rifford, I studied the interplay of the geometry of the cut locus and the regularity of optimal transport. We proved new results of the global geometry of the tangent cut locus: in particular, a perturbation of the round n-dimensional sphere has uniformly convex injectivity domains.

My main collaborators: Radjesvarane Alexandre, Luigi Ambrosio, Alexander Bobylev, François Bolley, Yann Brenier, Eric Carlen, José Antonio Carrillo, Dario Cordero-Erausquin, Laurent Desvillettes, Alessio Figalli, Irene Gamba, Wilfrid Gangbo, François Golse, Alice Guionnet, Michel Ledoux, Pierre-Louis Lions, Grégoire Loeper, Michael Loss, John Lott, Francesco Maggi, Clément Mouhot, Felix Otto, Robert McCann, Maria Westdickenberg, Ludovic Rifford, Giuseppe Toscani.

Books

- Topics in Optimal Transportation (360 pages): This book deals with the Monge-Kantorovich minimization problem and its applications, in particular at the level of certain functional inequalities of isoperimetric type, and partial differential equations. It was published in 2003 by the American Mathematical Society in the Graduate Studies in Mathematics series, Vol. 58.

- Optimal transport, old and new (about 1000 pages). This work will serve as a complement to my first book on optimal transport, presenting alternative proofs, more synthetic, and insisting on probabilistic features, links with the theory of dynamical systems (Mather problem) and geometry (Ricci curvature). A preliminary version is available. This book appeared in 2009 in the Grundlehren der mathematischen Wissenschaften series, Vol. 338.

All three books have the purpose to realize a synthesis of recent research results, and to be exploited by non-specialists.

TRAINING AND EVALUATION

PhD Theses

• Clément Mouhot: Quelques propriétés qualitatives des équations cinétiques collisionnelles. Clément defended in November 2004 and entered CNRS in September 2005.
• François Bolley: Application du transport optimal à des problèmes de limites de champ moyen. François defended in December 2005 and was hired as an assistant professor in Paris-Dauphine in September 2006.
• Alessio Figalli: Optimal transport and action-minimizing curves. Alessio defended in October 2007, just after entering CNRS.

I have also advised the pre-doctoral dissertation of Jonathan Le Roux (2003).

Participation in jurys

Habilitation dissertations: Pierre-Emmanuel Jabin (referee), Frédéric Hérau (referee), Filippo Santambrogio (referee), Olivier Druet

Evaluation of research papers

Evaluation of research laboratories

TEACHING EXPERIENCE

At undergraduate level

At graduate level

• 2006 (in ENS Lyon): Optimal transport
• 2001-2002 (in ENS Lyon): the mean-field limit in statistical physics
• 1999 (in Georgia Tech, Atlanta): the Monge-Kantorovich minimization problem and its applications

Invited graduate or research-level courses

• Landau damping (short course, Cotonou, Benin, June 2010; and CIRM, Luminy, July 2010)
• Geometrical aspects of optimal transport (short course, Ischia, June 2010)
• Transport optimal et géométrie (Rennes, Journées Louis Antoine, April 2010)
• Curvature and regularity of optimal transport (short course, IAS, February 2009)
• Optimal transport and geometry (short course, Probabilistic approach to geometry, Kyoto, June 2008)
• CIME course (Cetraro, June 2008)
• Gergen Lectures (Duke University, May 2008)
• Borel Seminar (Leysin, summer school, September 2006)
• Hypocoercivity: The return (Trieste, workshop, June 2006)
• Hypocoercivity (Porto Ercole, summer school, June 2006)
• New trends in optimal transport (Bonn, February 2006)
• Optimal transport and geometry (MSRI, Berkeley, November 2005, cancelled for medical reasons)
• Optimal transport, old and new (Saint-Flour probability summer school, July 2005)
• Transport optimal (Orléans, May 2005)
• Optimal transport (Dortmund, March 2005)
• Mathematics of granular media (Institute Henri Poincaré, February 2005)
• Propriétés qualitatives des solutions de l'équation de Boltzmann (Cours Peccot of the Collège de France, May-June 2003). (Some information about these lectures is available here.)
• Optimal transport and applications (Oberwolfach seminars, October 2002; I co-organized this thematic week together with Luigi Ambrosio from Pisa).
• Entropy production and convergence to equilibrium (Henri Poincaré Institute, Winter 2001)
• Mass transportation tools for dissipative PDE's (CIME International summer school, Martina Franca, September 2001)
• On the spatially homogeneous Boltzmann equation (Crete conferences in mathematics, Anogia, June 2001; in association with Stéphane Mischler et Bernt Wennberg)
• Quelques aspects de l'équation de Boltzmann (Rennes, June 2001)
• Mass transportation: the geometry of diffusive equations (Ponta Delgada, Açores, September 2000, in association with Robert McCann et Felix Otto).

PUBLICATION LISTS

You can get PDF files of any paper in the lists below by clicking on the arrow on the left!

These PDF files are not exactly the texts which have been published: in most cases I have corrected misprints or minor mistakes, and in some cases the published versions have been further edited. For each published paper, you can consult the Web site of the corresponding journal by clicking on the icon.

For some research or review papers, I have put additional information and comments on a separate page, as well as PS files. You can find them by clicking on the corresponding icon.

1. In collaboration with P.L. Lions: Régularité optimale de racines carrées. C.R. Acad. Sci. 321 (1995), 1537-1541.

2. On the Landau equation: weak stability, global existence. Adv. Diff. Eq. 1, 5 (1996), 793-816.

3. On the spatially homogeneous Landau equation for Maxwellian molecules. Math. Meth. Mod. Appl. Sci. 8, 6 (1998), 957-983.

4. Fisher information estimates for Boltzmann's collision operator. J. Maths Pures Appl. 77 (1998), 821-837.

5. On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations. Arch. Rat. Mech. Anal. 143, 3 (1998), 273-307.

6. Conservative forms of Boltzmann's collision operator: Landau revisited. Math. Mod. An. Num. 33, 1 (1999), 209-227.

7. In collaboration with G. Toscani: Probability metrics and uniqueness of the solution to the Boltzmann equation for a Maxwell gas. J. Statist. Phys. 94, 3/4 (1999), 619-637.

8. In collaboration with G. Toscani: Sharp entropy dissipation bounds and explicit rate of trend to equilibrium for the spatially homogeneous Boltzmann equation. Comm. Math. Phys. 203, 3 (1999), 667-706.

9. Regularity estimates via the entropy dissipation for the spatially homogeneous Boltzmann equation without cut-off. Rev. Matem. Iberoam. 15, 2 (1999), 335-352.

10. In collaboration with L. Desvillettes: On the spatially homogeneous Landau equation for hard potentials. Part I: Existence, uniqueness and smoothness. Comm. P.D.E 25, 1-2 (2000), 179-259.

11. In collaboration with L. Desvillettes: On the spatially homogeneous Landau equation for hard potentials. Part II: H-Theorem and applications. Comm. P.D.E 25, 1-2 (2000), 261-298.

12. Decrease of the Fisher information for solutions of the spatially homogeneous Landau equation with Maxwellian molecules. Math. Mod. Meth. Appl. Sci. 10, 2 (2000), 153-161.

13. In collaboration with G. Toscani: On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds. J. Statist. Phys. 98, 5-6 (2000), 1279-1309.

14. In collaboration with F. Otto: Generalization of an inequality by Talagrand, viewed as a consequence of the logarithmic Sobolev inequality. J. Funct. Anal. 173, 2 (2000), 361-400.

15. In collaboration with R. Alexandre, L. Desvillettes and B. Wennberg: Entropy dissipation and long-range interactions. Arch. Rat. Mech. Anal. 152 (2000), 327-355.

16. A short proof of the ``concavity of entropy power''. IEEE Trans. Info. Theory 46, 4 (2000), 1695-1696.

17. In collaboration with L. Desvillettes: On the trend to global equilibrium in spatially inhomogeneous systems. Part I: the linear Fokker-Planck equation. Comm. Pure Appl. Math. 54, 1 (2001), 1-42.

18. In collaboration with F. Otto: Comment on : ``Hypercontractivity of Hamilton-Jacobi equations'', by S. Bobkov, I. Gentil and M. Ledoux. J. Math. Pures Appl. (9) 80, 7 (2001), 697-700.

19. In collaboration with R. Alexandre: On the Boltzmann equation for long-range interactions. Comm. Pure Appl. Math. 55, 1 (2002), 30-70.

20. In collaboration with E. Caglioti: Homogeneous cooling states are not always good approximations to granular flows. Arch. Rational Mech. Anal. 163, 4 (2002), 329-343.

21. In collaboration with L. Desvillettes: On a variant of Korn's inequality arising in statistical mechanics. A tribute to J.-L. Lions. ESAIM Control Optim. Calc. Var. 8 (2002), 603-619 (electronic).

22. In collaboration with L. Pareschi and G. Toscani: Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit. Numer. Mat. 93, 3 (2003), 527-248.

23. Cercignani's conjecture is sometimes true and always almost true. Commun. Math. Phys. 234 (2003), 455-490 The original publication is available on LINK at http://link.springer.de or via the following link:

24. In collaboration with J.A. Carrillo and R. McCann: Kinetic equilibration rates for granular media and related equations: Entropy dissipation and mass transportation estimates. Rev. Matematica Iberoamericana 19 (2003), 1-48.

25. In collaboration with D. Cordero-Erausquin and B. Nazaret: A new approach to sharp Sobolev and Gagliardo-Nirenberg inequalities. Adv. Math. 182, 2 (2004), 307-332.

26. In collaboration with R. Alexandre: On the Landau approximation in plasma physics. Ann. Inst. H. Poincaré Anal. Non Linéaire 21, 1 (2004), 61-95.

27. In collaboration with I. Gamba et V. Panferov: On the Boltzmann equation for diffusively excited granular media. Comm. Math. Phys. 246, 3 (2004), 503-541.

28. In collaboration with C. Mouhot: Regularity theory for the spatially homogeneous Boltzmann equation with cut-off. Arch. Rational Mech. Anal. 173, 2 (2004), 35-43.

29. In collaboration with L. Desvillettes: On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation. Invent. Math. 159, 2 (2005), 245-316.

30. In collaboration with F. Maggi: Balls have the worst best Sobolev inequalities. J. Geom. Anal. 15, 1 (2005), 83-121.

31. In collaboration with F. Bolley: Weighted Csiszár-Kullback-Pinsker inequalities and applications to transportation inequalities. Ann. Fac. Sci. Toulouse Math. 14, 3 (2005), 331-352.

32. In collaboration with J. Carrillo and R. McCann: Contractions in the 2-Wasserstein length space and thermalization of granular media. Arch. Rational Mech. Anal. 179 (2006), 217-263.

33. In collaboration with A. Guillin and F. Bolley: Quantitative concentration inequalities for empirical measures on non-compact spaces. Probab. Theory and Related Fields 137, 3-4 (2007), 287-314.

34. In collaboration with J. Lott: Weak curvature conditions and Poincaré inequalities. J. Funct. Anal. 245, 1 (2007), 311-333.

35. In collaboration with J. Lott: Hamilton-Jacobi semigroup on length spaces and applications. J. Math. Pures Appl. 88, 3 (2007), 219-229.

36. In collaboration with A. Figalli: Strong displacement convexity on Riemannian manifolds. Math. Z. 257, 2 (2007), 251-259.

37. In collaboration with F. Maggi: Balls have the worst best Sobolev inequalities. Part II: Variants and extensions. Calc. Var. Partial Differential Equations 31, 1 (2008), 47-74.

38. Stability of a 4th-order curvature condition arising in optimal transport theory J. Funct. Anal. 255, 9 (2008), 2683-2708.

39. In collaboration with A. Figalli: An approximation lemma about the cut locus, with applications in optimal transport theory Meth. Appl. Anal. 15, 2 (2008), 149-154.

40. In collaboration with L. Ni, J.-L. Vázquez and P. Lu: Local Aronson-Bénilan estimates and entropy formulae for porous medium and fast diffusion equations on manifolds. J. Math. Pures Appl. 91, 1 (2009), 1-19.

41. In collaboration with J. Lott: Ricci curvature for metric-measure spaces via optimal transport. Ann. of Math. 169, 3 (2009), 903-991.

42. In collaboration with N. Grunewald, F. Otto and M. Reznikoff: A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit. Ann. Inst. H. Poincaré Probab. Statist. 45 (2009), 2, 302--351.

43. Hypocoercivity. Mem. Amer. Math. Soc. 202 (2009), no. 950, iv+141 pp.

44. In collaboration with V. Panferov and I. Gamba: Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation. Arch. Ration. Mech. Anal. 194 (2009), 1, 253--282.

45. In collaboration with G. Loeper: Regularity of optimal transport in curved geometry: the nonfocal case. Duke Math. J. 151 (2010), 431--485.

46. In collaboration with E. Carlen, M.C. Carvalho, J. Le Roux and M. Loss: Entropy and chaos in the Kac model. Kinet. Relat. Models 3, 1 (2010), 85--122.

47. In collaboration with A. Figalli and L. Rifford: On the Ma-Trudinger-Wang curvature on surfaces. To appear in Calc. Var. Partial Differential Equations.

1. In collaboration with C. Mouhot: On Landau damping (submitted)

2. In collaboration with A. Figalli and L. Rifford: Nearly round spheres look convex (submitted)

3. In collaboration with A. Figalli and L. Rifford: Tangent cut loci on surfaces

4. In collaboration with A.~Figalli and L.~Rifford: Necessary and sufficient conditions for continuity of optimal transport maps on Riemannian manifolds

1. A review of mathematical topics in collisional kinetic theory. In Handbook of Mathematical Fluid Dynamics, S. Friedlander and D. Serre, Eds, Elsevier Science, 2002.

2. Limites hydrodynamiques de l'équation de Boltzmann (d'après C. Bardos, F. Golse, C. D. Levermore, P.-L. Lions, N. Masmoudi, L. Saint-Raymond). Bourbaki Seminar, Exp. 893 (June 2001). Astérisque 282 (2002), 365-405.

3. Topics in Optimal Transportation. Graduate Studies in Mathematics 58, American Mathematical Society, Providence (2003) (Sorry, only the preface is available online!)

4. Optimal transportation, dissipative PDE's and functional inequalities. Notes for the CIME summer school ``Optimal transportation and applications'' (Martina Franca, September 2002). Lecture notes in mathematics, vol. 1813, L. Caffarelli and S. Salsa, Ed. © Springer-Verlag

5. Convergence to equilibrium: entropy production and hypocoercivity. Text of my Harold Grad lecture at the Rarefied Gas Dynamics 24 (Bari, June 2004).

6. Entropy production and convergence to equilibrium. Notes for a series of lectures in Institut Henri Poincaré, Paris (Winter 2001). Intended for publication in Lecture Notes in Mathematics.

7. Mathematics of granular materials. J. Stat. Phys. 124 (2006), no. 2-4, 781--822.

8. Hypocoercive diffusion operators. Proceedings of the International Congress of Mathematicians (Madrid, 2006).

9. Optimal transport, old and new. Grundlehren der mathematischen Wissenschaften, Vol.338, Springer-Verlag, 2009.

10. Hypocoercivity. Mem. Amer. Math. Soc. 202 (2009), no. 950. This memoir includes a debugged version of my obsolete text, "Hypocoercive diffusion operators in Hörmander form". In the present version (updated August 2008) it also contains a new section (Appendix 22) on local positivity estimates for Fokker-Planck type equations, together with a few additions in Appendix 21.

11. Paradoxe de Scheffer-Shnirelman revu sous l'angle de l'intégration convexe (d'après C. De Lellis, L. Székelyhidi). Bourbaki Seminar, Exp. 1001 (November 2008).

12. Regularity of optimal transport and cut locus: from nonsmooth analysis to geometry to smooth analysis. Review article on the relation between the regularity of optimal transport and the geometry of cut locus (2010).

13. Landau damping. Notes for a course given in Cotonou, Benin, and in CIRM, Luminy, Summer 2010.

1. In collaboration with P. Markowich: On the trend to equilibrium for the Fokker-Planck equation: an interplay between physics and functional analysis. Mat. Contemp. 19 (2000), 1-29.

2. In collaboration with L. Desvillettes: Entropic methods for the study of the long time behavior of kinetic equations. The Sixteenth International Conference on Transport Theory, Part I (Atlanta, GA, 1999). Transport Theory Statist. Phys. 30, 2-3 (2001), 155-168.

3. On the trend to equilibrium for kinetic equations. Inhomogeneous random systems (Cergy-Pontoise, 2001). Markov Process. Related Fields 8, 2 (2002), 237-250.

4. In collaboration with I. Gamba and V. Panferov: On the inelastic Boltzmann equation with diffusive forcing. In Nonlinear Problems in Mathematical Physics and Related Topics II, in honor of Professor O.A. Ladyzhenskaya, Int. Math. Ser. 2, New York (2002), 179-192.
5. In collaboration with A. Arnold, J.A. Carrillo, L. Desvillettes, J. Dolbeault, A. Jüngel, C. Lederman, P.A. Markowich and G. Toscani: Entropies and equilibria of many-particle systems: An essay on recent research. Monatsh. Math. 142, 1-2 (2004), 35-43.

6. Trend to equilibrium for dissipative equations, functional inequalities and mass transportation. Notes for the summer school ``Mass transportation methods in kinetic theory and hydrodynamics'' (Ponta Delgada, Azores, 2000). Recent Advances in the Theory and Applications of Mass Transport, M. C. Carvalho and J. F. Rodrigues, editors, Contemporary Mathematics, vol. 353, Amer. Math. Soc., Providence, RI (2004), 95-109. © AMS

7. Entropy production and convergence to equilibrium for the Boltzmann equation. Notes for the 14th International Congress of Mathematical Physics (Lisbon, 2003)

8. Convergence to equilibrium: Entropy production and hypocoercivity. Notes for my Harold Grad lecture delivered at the 24th Rarefied Gas Dynamics conference (Bari, 2004) [Also listed as a ``Synthesis work'' above]

9. Hypocoercive diffusion operators. Proceedings of the International Congress of Mathematicians (Madrid, 2006). [Also listed as a ``Synthesis work'' above]

10. Current trends in optimal transport -- A tribute to Ed Nelson. Text of my lecture for the Conference in the honor of Edward Nelsons' seventieth birthday (Vancouver, juin 2004). Appeared in Diffusion, quantum theory, and radically elementary mathematics, Math. Notes, 47, Princeton Univ. Press, Princeton, NJ, 2006, pp. 141-156.

11. Transport optimal et courbure de Ricci. Text of my lecture at the seminar of geometry and spectral theory in Grenoble (identical, up to minor corrections, to the text of my lecture at the X-EDP Seminar in École Polytechnique). Sémin. Théor. Spectr. Géom. 24, Année 2005-2006 (2007), 79-100.

12. H-Theorem and beyond: Boltzmann's entropy in today's mathematics. Expanded version of my lecture at the Boltzmann memorial in Munich. In Boltzmann's legacy, ESI Lect. Math. Phys., Eur. Math. Soc., Zürich, 2008, pp.129-143.

13. In collaboration with A. Figalli: Optimal transport and curvature. Notes for my CIME course in Cetraro, June 2008.

14. L'écriture des mathématiciens. Proceedings of the conference Écritures: sur les traces de Jack Goody, organized in ENSSIB Lyon by Éric Guichard, for a broad audience of sociologists and other scientists, January 2008.

15. In collaboration with C. Mouhot: Landau damping. To appear in J. Math. Phys., special 50th anniversary issue.

The following short text, which was part of my PhD Thesis, was edited and put online on the suggestion of Henri Cabannes and Li-Shi Luo: Is there any backwards solution of the Boltzmann equation? Although the results there are extremely partial, the problem which is explained might be of interest to some readers.

Here is another short unpublished text, containing some strange identities about the Fokker-Planck-Landau equation, derived in particular from discussions with Benoît Desjardins: Some identities satisfied by the Coulomb potential Included is a remark about the existence of stationary self-similar solutions when there is a source term at zero velocity.

INVITATIONS AND COMMUNICATIONS

Invitations

• IHES, Bures-sur-Yvette (part-time, 2009-2010)
• IAS, Princeton (January-June 2009)
• Kyoto University, one month (Summer 2008)
• IAS, Princeton, two weeks (February 2007)
• ANU, Canberra, three months (Summer 2007)
• IAS, Princeton, two weeks (February 2007)
• University of Dortmund, one week (March 2005)
• University of California at Berkeley, four months (January-May 2004)
• University of Austin (Texas), two weeks (April 2003)
• Reading University (UK), three months (January-March 2003)
• Academia Sinica (Taipei, Taiwan), three weeks (January 2002)
• Cheng Kung University (Tainan, Taiwan), one week (January 2002)
• MIT (Boston), two weeks (April 2001)
• University of Austin (Texas), one month (November 2000)
• Georgia Tech (Atlanta), five months (fall 1999)
• University of Pavia, two months (March-April 1999)
• UCSB (Santa Barbara), two weeks (February 1999)
• Courant Institute (New York), one week (February 1999)
• Georgia Tech (Atlanta), one week (November 1998)
• Erwin Schrödinger Institute (Vienna), one week (October 1998)
• University of Pavia, two weeks (October 1997)

Invited lectures

• Workshop on Wave turbulence (Treilles, July 2010)
• Conference in the honor of Stephanos Venakides (Paris, June 2010)
• INdAM day (Catania, June 2010)
• Conference ``Emerging Topics in Dynamical Systems and Partial Differential Equations'' (Barcelona, May 2010)
• Egypt-France Mathematics Conference (Cairo, May 2010)
• Conference in the honor of Michelle Schatzman (Lyon, December 2009)
• Workshop on concentration, functional inequalities and isoperimetry (Boca Raton, November 2009)
• Workshop on Partial Differential Equations (Oberwolfach, August 2009)
• International Congress of Mathematical Physics (Prague, August 2009)
• Workshop on kinetic theory and statistical mechanics (Lisbon, July 2009)
• 101th Statistical Mechanics Meeting (Rutgers, May 2009)
• Columbia-Princeton Probability Day (New York, May 2009)
• Fabes-Rivière Symposium (Minneapolis, April 2009)
• Workshop on geometric analysis (IAS, February 2009)
• South California Geometric Analysis Seminar (San Diego, February 2009)
• European Congress of Mathematicians (Amsterdam, July 2008)
• Workshop on Calculus of Variations (Oberwolfach, July 2008)
• Workshop at the Institute Henri Poincaré (Ricci curvature program, June 2008)
• 50 years Conference of the IHES (May 2008)
• Conference in the honor of Walter Strauss (Providence, May 2008)
• Workshop ``Geometric analysis'' (Grenoble, March 2008)
• Boltzmann workshop (IHP, Paris, October 2007)
• Australian-Chinese conference (Coolangatta, June 2007)
• Plenary lecturer at the tenth Rencontres du Non Linéaire (Paris, March 2007; mainly physicist audience)
• Workshop on kinetic theory in Oberwolfach (December 2006)
• International Congress of Mathematicians (Madrid, August 2006)
• International Conference on Nonlinear Evolutionary Partial Differential Equations (Xining, China, August 2006)
• Boltzmann Symposium (Vienna, June 2006, and Munich, October 2006) [hundredth anniversary of Ludwig Boltzmann's death]
• Conference ``Stochastic Processes and Applications'' (Paris, July 2006)
• Plenary lecturer at the Joint French-Italian Mathematical Meeting (Turin, July 2006)
• Meeting in Oberwolfach around functional inequalities (November 2005)
• Joint European-Catalan Mathematical Societies Conference (Barcelone, September 2005)
• Meeting in Luminy around random flows (April 2005)
• Meeting in Oberwolfach on hydrodynamical limits (April 2005)
• Plenary lecturer at the Franco-Nordic Meeting (Reykjavik, January 2005)
• Conference ``Mathematical Aspects of Fluid and Plasma Dynamics'' (MAFPD, Kyoto, September 2004)
• Plenary lecturer in the tenth International Congress of Hyperbolic Problems (Osaka, September 2004)
• Conference in the honor of Carlo Cercignani (Montecatini, September 2004)
• I was in charge of the Harold Grad Lecture in the 24th edition of the ``Rarefied Gas Dynamics'' conference (Bari, July 2004)
• Conference in the honor of Edward Nelson (University of British Columbia, Vancouver, June 2004)
• Plenary lecturer in the CANUM (Congrès d'Analyse Numérique) 2004 (June 2004)
• ``Kinetic Equations'', Oberwolfach (November 2003)
• Conference ``Analysis and Probability'', jointly organized by the French and Tunisian Mathematical Societies (Hammamet, October 2003)
• ``Partial Differential Equations'', Oberwolfach meeting (August 2003)
• Plenary lecturer in the fourteenth International Congress of Mathematical Physics (ICMP) (Lisbon, July 2003)
• CinHypWit [Kinetic equations, Hypoellipticity and Witten-Laplacien] (Rennes, February 2003)
• Workshop on logarithmic Sobolev inequalities (Versailles, December 2002)
• ``Recent advances on calculus of variations and PDE's'' (Pisa, November 2002)
• Conference in the memory of Jacques-Louis Lions (Paris, July 2002)
• Colloquium of the CMLA (École normale supérieure de Cachan, May 2002)
• ``Workshop on nonlinear models and analysis'', (Schrödinger Institute, Vienna, June 2002)
• Workshop on ``logarithmic Sobolev inequalities in PDE's and probabilities'' (Orléans, March 2002)
• ``Workshop on nonlinear analysis'' (Academia Sinica, Taipei)
• ``Hydrodynamical limits'', conference in the honor of Claude Bardos (Institut Henri Poincaré, Paris, October 2001)
• ``Optimal transportation and applications'', CIME Summer School (Martina Franca, August 2001)
• ``Problems and perspectives on calculus of variations: physics, economics and geometry'' (Toronto, August 2001)
• ``Kinetic theory'', ``Crete Conferences'' Summer school (Anogia, June 2001)
• Rencontres mathématiques de l'ENS Lyon (Lyon, March 2001)
• Workshop ``Nonhomogeneous Random Systems'' (Cergy, January 2001)
• Workshop on Mass transportation (Pisa, October 2000)
• Summer school ``Mass transportation methods in kinetic theory and hydrodynamics'', (Ponta Delgada, Azores, September 2000).
• Conference ``New applications of kinetic theory'' (Göteborg, June 2000)
• Conference ``Nonlinear Analysis, 2000 and beyond'', (Courant Institute, New York, May 2000)
• Workshop ``Coulomb interactions, kinetic equations and asymptotic analysis'' (Marseille, February 2000)
• Conference ``Nonlinear equations in many-particles systems''(Oberwolfach, December 1999)
• Specialized session of an AMS conference (Austin, October 1999)
• Conference ``Isoperimetric inequalities and measure transportation'' (Marseille, September 1999)
• European workshop on kinetic theory (Santa Margherita Ligure, April 1999)
• Workshop devoted to the Landau equation (Paris, March 1999)
• Workshop on kinetic theory (École normale supérieure de Cachan, November 1998)
• European workshop on kinetic theory (Vienna, October 1998)
• Workshop on optimal transportation (Foljuif, June 1998)

Other lectures

• Conference ``Mathematical aspects of fluids and plasmas'' (Wailea, Hawai`i, June 1998)
• International workshop on kinetic theory (Toulouse, May 1998)

Research Seminars

Broad-audience lectures for non-specialists

• Vingt ans de mathématiques (Broad audience lecture at Marathon des Sciences, Fleurance, 7/VIII/10)
• Entropie et Théorème H (Lecture for new recruits of the École Polytechnique, 7/V/10)
• Les prodigieux théorèmes de Monsieur Nash (Lecture cycle ``Un texte, un math\'ematicien'' at the Bibliothèque Nationale de France, 7/IV/10; and Fermat Prize ceremony, Toulouse, 10/V/10)
• Peut-on mathématiquement prédire l'avenir du système solaire? (Closing ceremony for a competition of the International Committee of Mathematical Games (CIJM), Fête de la Science, IHP, 22/XI/09)
• Le Billard Moléculaire de Ludwig Boltzmann (cycle des Soirées Scientifiques de l'Université Claude Bernard - Lyon I, 11/X/05)
• Mathématiques du billard moléculaire (Fête de la Science, Clermont-Ferrand, 14/X/04)
• Le mouvement brownien (Public session of the Academy of Sciences at Lyon, 26/I/05)
• Deux histoires de particules (lecture for the l'Association des Professeurs de Mathématiques de l'Enseignement Public [APMEP], 28/IX/02)
• Mouvement brownien (broad-audience lecture at ENS Lyon, 20/III/02)

  ---

  Back to Home Page