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Gazette Des Mathématiciens JUILLET 2017 – No 153 la Gazette des Mathématiciens • Prix et distinctions – Yves Meyer, prix Abel 2017 • Entretien avec Roger Godement • Tribune Libre – Réflexion sur l’écriture et le style en mathématiques • Raconte-moi... les solitons la GazetteComité de rédaction des Mathématiciens Rédacteur en chef Sébastien Gouëzel Université de Nantes Boris Adamczewski Institut Camille Jordan, Lyon [email protected] [email protected] Sophie Grivaux Université de Picardie Rédacteurs [email protected] Thomas Alazard Fanny Kassel ENS, Paris IHÉS [email protected] [email protected] Caroline Ehrhardt Pierre Loidreau Université Vincennes Saint-Denis Université Rennes 1 [email protected] [email protected] Damien Gayet Institut Fourier, Grenoble Romain Tessera [email protected] Université Paris-Sud [email protected] Secrétariat de rédaction : smf – Claire Ropartz Institut Henri Poincaré 11 rue Pierre et Marie Curie 75231 Paris cedex 05 Tél. : 01 44 27 67 96 – Fax : 01 40 46 90 96 [email protected] – http://smf.emath.fr Directeur de la publication : Stéphane Seuret issn : 0224-8999 À propos de la couverture. Un mascaret sur la Dordogne ; photo prise en 2003 à Saint-Pardon au moment des grandes marées d’équinoxe (mi-septembre). Les mascarets sont des vagues qui se forment à l’estuaire d’un fleuve peu profond et à fort débit, lors des grandes marées, et qui remontent le courant sur des distances pouvant dépasser 100km. Ils correspondent à la propagation d’un ressaut hydraulique (comme l’eau qui coule du robinet dans l’évier). En amont, celui-ci se découple en un train d’ondes solitaires, les solitons. La Gazette remercie chaleureusement l’auteur de la photographie, monsieur Claude Simonin. (crédit : Claude Simonin). SMF – GAZETTE la GazetteNo 153 des Mathématiciens É Éditorialditorial Chère lectrice, cher lecteur, Par-delà l’éternel clivage opposant juillettistes et aoûtiens, c’est au plus grand nombre que la Gazette souhaite offrir un espace de détente à l’ombre des rafraîchissantes pages de ce numéro estival. Et celles-ci saluent tout d’abord les mathématiques d’Yves Meyer, récem- ment « abélianisé ». Des mathématiques qui frappent sans conteste par leur éclectisme. Un monde où ondelettes, analyse harmonique, équations aux dérivées partielles et quasi-cristaux se côtoient joyeusement. Selon Pablo Picasso : « Tout l’intérêt de l’art se trouve dans le commencement. Après le commencement, c’est déjà la fin. » Nous emboîtons le pas du fan- tasque peintre pour te faire partager, au côté de Roger Godement, l’avène- ment des formes automorphes en France. Un témoignage original à la lec- ture plurielle, qui s’adresse tout autant aux néophytes qu’aux spécialistes du sujet. Ta curiosité sera également piquée à la lecture de la rubrique Raconte-moi. Tu pénétreras dans l’univers du soliton, cette étrange onde solitaire qui se propage sans jamais se déformer, à l’image du mascaret aquitain choisi pour cette couverture. Du côté de la Diffusion des savoirs, la capitale des Gaules est à l’honneur avec sa Maison des Mathématiques et de l’Informatique. Un lieu de ren- contre et de transmission pour la science, et une initiative à saluer. Com- ment réaliser un jeu aléatoire gagnant à partir de deux jeux perdants? C’est là l’objet du paradoxe de Parrondo, attaché au physicien éponyme Juan MR Parrondo. C’est aussi l’occasion d’en apprendre davantage sur le déroule- ment des stages hippocampe qui proposent aux lycéens une initiation à la recherche mathématique. Et si je te demandais quels sont tes auteurs préférés? Question incongrue... Proust? Dostoïevski? Gary? Évidemment. Mais tu fais fausse route car il s’agit d’écriture mathématique dont Yves André vient te parler. Une Tribune en toute liberté et une affaire de style. Pour finir, un hommage est rendu au physicien théoricien et mathématicien Ludvig Faddeev, décédé en février dernier. En te souhaitant une agréable lecture et un bel été, Boris Adamczewski SMF – GAZETTE – JUILLET 2017 – No 153 1 la Gazette des Mathématiciens 2 SMF – GAZETTE – JUILLET 2017 – No 153 la GazetteNo 153 Sommair Sommairdese Mathématiciens smf 5 Mot du président 5 Rapport moral 7 Rapport Moral 7 Prix et distinctions 20 Yves Meyer, prix Abel 2017 – S. Jaffard 20 Entretien 27 Un entretien avec Roger Godement 27 Diffusion des savoirs 46 La Maison des mathématiques et de l’informatique de Lyon – J. Germoni 46 Paradoxe de Parrondo – H. Davaux 54 Raconte-moi 59 Les solitons – R. Côte 59 Tribune libre 64 Réflexions sur l’écriture et le style en mathématique – Y. André 64 Information 72 Nouvelles du cnrs – D. Bresch et M. de la Salle 72 Le réseau Franco-Brésilien en mathématiques – C. Favre 75 Carnet 76 Ludwig Faddeev – M. Semenov-Tian-Shansky 76 Livres 82 SMF – GAZETTE – JUILLET 2017 – No 153 3 la Gazette des Mathématiciens 4 SMF – GAZETTE – JUILLET 2017 – No 153 la GazetteNo 153 du président Mot du présidentdes Mathématiciens Chères et chers collègues, Après avoir été réélu par notre conseil d’administration, j’entame une deuxième année à la présidence de la smf. La première année a été très intense. – Notre politique d’édition vers le numérique a été renforcée, en confortant l’idée d’une édition éthique de qualité tournée vers l’avenir : les livres et revues de la smf, maintenant dotés d’un doi, continuent leur essor, la re- vue Astérisque est en cours de numérisation, et nous avons encore plu- sieurs projets en cours pour les prochaines années (livres en pdf, nou- velle revue électronique gratuite, accessibilité à nos revues facilitée. ). – Nous avons développé plusieurs actions vers les jeunes : les semaines cirm-smf, et plus spectaculairement, le concours smf junior – véritable succès avec ses 214 inscrits – qui marque l’intérêt que la smf porte aux jeunes qui aiment les mathématiques. – Toujours dans cette politique visant à faciliter l’intégration des jeunes dans la communauté, je suis heureux de vous annoncer qu’à partir de 2018, l’adhésion à la smf pour les étudiant(e)s en thèse sera gratuite pour 3 ans (au lieu d’un an actuellement). Je vous invite donc à recom- mander à vos étudiants l’adhésion à la smf. – Un énorme travail a été fait en interne pour la modernisation de notre architecture informatique et notre site web (même si vous ne pouvez pas le voir encore!). Vous pourrez avant la fin de cette année en profi- ter, grâce à tout notre patrimoine (articles, vidéos, prises de position, Ga- zette . ) qui sera accessible et mis en valeur, et également grâce à tout le contenu mathématique qui va être créé autour de ce site. – La smf a également été très présente dans les médias, avec notamment la tribune publiée dans le journal Le Monde, et a joué son rôle de repré- sentant et de médiateur de la communauté à de nombreuses reprises (auprès des ministères, des différents comités de réflexion, ou en organi- sant des réunions autour de l’enseignement). L’année qui commence permettra à plusieurs de ces chantiers d’aboutir, et à vous d’en profiter. SMF – GAZETTE – JUILLET 2017 – No 153 5 laN’hésitez pas à partager avec vos collègues les initiatives de la , en par- smf ticulierGazette notre nouvelle politique d’adhésion dirigée vers les jeunes. Le sou- tien de la communauté est trèsdes important pourMathématiciens nous, il passe par l’adhé- sion du plus grand nombre et surtout de celles et ceux qui prendront notre suite. Je termine cette lettre en rendant hommage à Jean-Pierre Kahane. Son hé- ritage scientifique ne peut être résumé en quelques lignes; les nombreux messages que j’ai reçus suite à l’annonce de sa disparition (consultables sur notre site) témoignent de l’importance et de l’influence incomparables qu’il a eues dans le monde des mathématiques, et dans le monde, simple- ment. Je garderai personnellement l’image de la remise des prix du concours smf junior le 10 juin dernier : tous les spectateurs de l’amphithéâtre Her- mite ont constaté la générosité, le talent de ce personnage exceptionnel, qui, à plus de 90 ans, debout pendant 45 minutes, a partagé un exposé passionnant sur la possibilité de parler de mathématiques (sans écrire une ligne!) en détaillant plusieurs démonstrations géométriques. Quel exemple! Je vous souhaite une bonne fin d’année universitaire, avant un été reposant! Le 1er juillet 2017 Stéphane Seuret, président de la smf 6 SMF – GAZETTE – JUILLET 2017 – No 153 Rapport moral 1. Affaires générales Nous comptons également sur de nouvelles ini- tiatives (concours smf junior, semaines cirm-smf, tribunes...) pour augmenter la visibilité de la smf et 1.1 – Situation générale ainsi susciter des adhésions. Depuis 2014, la smf a un bilan comptable positif, c’est encore le cas en 2016. Il faut cependant rester vigilant sur plusieurs points très importants pour la 1.3 – Prises de position pérennité de la smf : – notre structure informatique est fragile, nous À l’initiative de la smf, un groupe de travail s’est devons donc la rénover et faciliter les condi- mis en place pour rédiger une tribune destinée aux tions de travail des salarié(e)s; candidat(e)s à l’élection présidentielle. Ce groupe – le monde de l’édition scientifique est en pleine a rassemblé des représentant(e)s de la sfp 1, de la mutation, avec une demande certaine de nos sif 2, de la smai 3, et de la smf. Le but était d’inter- collègues vers la numérisation de nos articles peller les candidats sur les sujets liés à l’enseigne- et ouvrages et la mise à disposition au plus ment et la recherche. La tribune a été publiée le grand nombre de nos publications; 22/03/2017 dans le journal Le Monde, et diffusée – notre nombre d’adhérents reste important, très largement via tous nos canaux.
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