BEGIN:VCALENDAR VERSION:2.0 PRODID:-//wp-events-plugin.com//7.2.3.1//EN TZID:Europe/Paris X-WR-TIMEZONE:Europe/Paris BEGIN:VEVENT UID:6326@i2m.univ-amu.fr DTSTART;TZID=Europe/Paris:20210920T000000 DTEND;TZID=Europe/Paris:20210924T000000 DTSTAMP:20241211T150140Z URL:https://www.i2m.univ-amu.fr/evenements/advancing-bridges-in-complex-dy namics/ SUMMARY:Conference (CIRM\, Luminy\, Marseille): Advancing Bridges in Comple x Dynamics DESCRIPTION:Conference: \n\n\n\n\n\n\n Time Schedule \n\n\n\n Abstracts \n\ n\n\n\n\n Participants \n\n\n\n\n\n Videos \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\ n\n\n\nCONFERENCE\n\nAdvancing Bridges in Complex Dynamics\nAvancer les co nnections dans la dynamique complexe\n\n20 - 24 September 2021\n\n\n\n\n\n \n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nScientific Committee \nComité scientifi que\nNuria Fagella (University of Barcelona)\nMisha Lyubich (Stony Brook U niversity)\nDierk Schleicher (Aix-Marseille Université)\n\n \n\nOrganizi ng Committee\nComité d'organisation\nAnna Miriam Benini (University of Pa rma)\nKostiantyn Drach (Aix-Marseille Université)\nDzmitry Dudko (Stony B rook University)\nMikhail Hlushchanka (Aix-Marseille Université / Utrecht University)\nDierk Schleicher (Aix-Marseille Université)\n\n\n\n\n\n\n\n Description\n\n\n\n\n\n\n\n\n\nComplex dynamics\, in the sense of iteratio n theory of holomorphic mappings\, is a very active and deep field with ma ny connections all across mathematics\, with profound recent developments and important goals. Its connections to other branches of mathematics incl ude geometry of 3-manifolds (through Sullivan’s celebrated “dictionary ” between holomorphic dynamics and Kleinian groups\, as well as Thurston ’s geometrization theory)\, algebra (in particular group theory\, throug h Nekrashevych’ theory of Iterated Monodromy Groups)\, renormalization ( that plays an important role in the study of holomorphic dynamics as well as in physics)\, all the way to numerical analysis (many equation solvers and root finders are iterated holomorphic maps).\nOur focus will be on sel ected topics of holomorphic dynamics that have seen substantial developmen ts in the past years that open up new perspectives and vistas. We will put particular emphasis on their interconnections\, helping an actively devel oping field to maintain coherence and a view towards “the whole picture ”. One substantial ingredient of the conference is the Advanced Grant of the European Research Council “Hologram” by one of the organizers\; t he intended time period for the conference (September 2021) marks the conc lusion of this grant\, so it is a good opportunity to “pass on the torch ” to the community-at-large in terms of accomplishments and questions ac hieved. We hope that the results of this grant will inspire our colleagues to apply for other major grants\, ERC and other wise.\n\n\n\nLa dynamique complexe\, au sens de la théorie itérative des applications holomorphes \, est un domaine très actif et profond qui entretient de nombreuses conn exions\, essentiellement mathématiques\, et qui compte de récents dével oppements spectaculaires et des objectifs fondamentaux. Ses liens avec d ’autres branches des mathématiques comprennent la géométrie des vari étés de dimension trois (via le célèbre “dictionnaire” de Sullivan entre la dynamique holomorphe et les groupes kleinéens et via la géomé trisation de Thurston)\, l’algèbre (en particulier la théorie géomét rique des groupes\, et plus particulièrement la théorie de Nekrashevych sur les groupes de monodromie itérée)\, la renormalisation (qui joue un rôle important dans l’ étude de la dynamique holomorphe ainsi qu’en physique)\, allant jusqu’à l’analyse numérique (de nombreux solveurs d’équations et recherches de racines utilisent des applications holomo rphes itérées).\nNous nous concentrerons sur des sujets soigneusement ch oisis de la dynamique holomorphe qui ont connu des développements substan tiels au cours de ces dernières années et qui ouvrent de nouvelles persp ectives ainsi que des points de vue originaux. Nous mettrons particulèrem ent l’accent sur leurs interactions\, afin de s’assurer que ces domain es en plein essor maintiennent la cohérence nécessaire à une vision glo bale du sujet. Un ingrédient important de la conférence est la bourse “European Research Council (ERC) Advanced Grant” Hologram détenue par l’un des organisateurs car la période prévue pour la conférence —s eptembre2021— marque la fin de cette subvention : c’est donc là une b onne occasion de “passer le flambeau” à la communauté en dressant le bilan des accomplissements réalisés et en posant les questions qui en s ont issues. Nous espérons que les résultats obtenus grâce à cette bour se inspireront nos collègue à candidater sur d’autres bourses de cette ampleur\, ERC et/ou autres.\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nInvited Spea kers\n\nXavier Buff (Université Paul Sabatier)    Tips of tongues in t he double standard family\nDavoud Cheraghi (Imperial College London)    Arithmetic geometric models for the renormalisation of irrationally indif ferent attractors\nNuria Fagella (University of Barcelona)    Meromorph ic maps of finite type: parameter space\nMikhail Lyubich  (Stony Brook Un iversity)    Story of the Feigenbaum point\nJohn Milnor  (Stony Brook University)    Real quadratic rational maps\nSabyasachi Mukherjee (Tata Institute of Fundamental Research)    Interbreeding in conformal dynam ics\, and its applications near and far\nVolodymyr Nekrashevych (Texas A&a mp\;M University)    Contracting self-similar groups and conformal dime nsion\nCarsten Petersen (Roskilde University)    A dynamical homeomorph ism between the Mandelbrot set M and the parabolic Mandelbrot set M_1 \nP ascale Roesch  (Université Paul Sabatier)    Walk in some parameter s pace\nGwyneth Stallard (Open University)    Relationships between orbit s of interior and boundary points of wandering domains\n\n\n\n\n\n \n\n\n \n\n\nJunior Speakers\n\nKonstantin Bogdanov (Aix-Marseille Université)     Transcendental dynamics and infinite-dimensional Thurston theory\nAnd rew Brown (University of Liverpool)    Eremenko’s Conjecture\, Devane y’s Hairs\, and the Growth of Counterexamples \nRoman Chernov (Aix-Mars eille Université)    On the core entropy for cosine family\nCaroline D avis (Indiana University)    Elastic matings \nGabriela Alexandra Este vez Jacinto (Universidade Federal Fluminense)    Hyperbolicity of renor malization for bi-cubic circle maps with bounded combinatorics\nAlex Kapia mba (University of Michigan)    A strong Yoccoz inequality\nKirill Laze bnik (University of Toronto)    Transcendental Julia sets of minimal Ha usdorff dimension\nDavid Marti-Pete (University of Liverpool)    Wander ing lakes of Wada\nHongming Nie (Pontificia Universidad Católica de Chile )    Boundedness of hyperbolic components for Newton maps\nYusheng Luo (Stony Brook University)    The boundaries of the main hyperbolic compo nent\nLeticia Pardo-Simon (Institute of Mathematics of the Polish Academy of Sciences)    Entire functions with Cantor bouquet Julia sets\nInsung Park (Indiana University Bloomington)    Julia sets with Ahlfors regul ar conformal dimension one\nBernhard Reinke (Aix-Marseille Université)     Iterated monodromy groups and transcendental dynamics\nSergey Shemyak ov (Aix-Marseille Université)    Transcendental Thurston Theory for en tire functions and compositions \nJames Waterman (Stony Brook University)      Docile entire functions\n\n\n\n\n\n\n\n\n\nMini Courses\n\n\n\n\n \n\n\n\nRenormalization:\nKostiantyn Drach (Aix-Marseille Université)     Box renormalization as a "black box"\nDzmitry Dudko (Stony Brook Univer sity)    Near-degenerate regime in neutral renormalization\nMitsuhiro S hishikura (Kyoto University)    Renormalization in Complex Dynamics\n[s u_spacer size="10"]\nTranscendental dynamics:\nAnna Miriam Benini (Univers ity of Parma)    Transcendental dynamics part I \nChristopher Bishop ( Stony Brook University)    Transcendental functions with small singular sets\nLasse Rempe (University of Liverpool)    Dynamics in the Speiser class\n\n \n\nThurston theory:\nJohn Hubbard (Cornell University)    Introduction to Thurston’s theorems\nDylan Thurston (Indiana University Bloomington)    Characterizing rational maps positively using graphs\nB ecca Winarski (College of the Holy Cross)    Characterizing Thurston ma ps by lifting trees\n[su_spacer size="10"]\nGlobal dynamics:\nLaurent Bart holdi (Georg-August University of Göttingen)    Quadratic polynomials (mini-course Global dynamics)\nMario Bonk (University of California\, Los Angeles)    The visual sphere of an expanding Thurston map\nMikhail Hlu shchanka (Aix-Marseille Université/Utrecht University)\n\n\n\n\n\n ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2 020/12/image_gdac-Left-The-Newton-map-for-a-polynomial-of-degree-7-showing -that-every-root-can-be-fig3-Hubbard-Sutherland-Schleicher-600x137-1.jpg CATEGORIES:Colloque LOCATION:Luminy - CIRM\, 163 Avenue de Luminy\, Marseille\, 13009\, France X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=163 Avenue de Luminy\, Mars eille\, 13009\, France;X-APPLE-RADIUS=100;X-TITLE=Luminy - CIRM:geo:0,0 END:VEVENT BEGIN:VTIMEZONE TZID:Europe/Paris X-LIC-LOCATION:Europe/Paris BEGIN:DAYLIGHT DTSTART:20210328T030000 TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST END:DAYLIGHT END:VTIMEZONE END:VCALENDAR