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:7250@i2m.univ-amu.fr DTSTART;TZID=Europe/Paris:20180910T000000 DTEND;TZID=Europe/Paris:20180914T000000 DTSTAMP:20241213T103203Z URL:https://www.i2m.univ-amu.fr/evenements/diophantine-approximation-and-t ranscendence/ SUMMARY:Conference (CIRM\, Luminy\, Marseille): Diophantine Approximation a nd Transcendence DESCRIPTION:Conference: \n\n\n\n\n\n\n\n\n Schedule / Programme \n\n\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\nDiophantine Approximation and Transcen dence\nApproximation diophantienne et transcendance\n10 - 14 September 201 8\n\n\n\n\n\n\n\n\n\n\nScientific Committee \nComité scientifique\n\nMich ael A. Bennett (University of British Columbia)\nMarc Hindry (Université Paris-Diderot)\nNoriko Hirata-Kohno (Nihon University)\nPatrice Philippon (Université Paris 6)\n\n\n\n\n[su_spacer]\n\nOrganizing Committee\nComit é d'organisation\n\nBoris Adamczewski (CNRS\, Université Claude Bernard Lyon 1)\nYann Bugeaud (Université de Strasbourg)\nPhilipp Habegger (Univ ersität Basel)\nMichel Laurent (Aix-Marseille Université)\nUmberto Zanni er (Scuola Normale Superiore di Pisa)\n\n[su_spacer]\n\n\n\n\nThe initial goal of Diophantine approximation is the study of the approximation of a r eal point by rational points and the tools which have been created to that purpose remain at the basis of transcendence’s results. There exists a Diophantine mathematical community concerned with the topic which has nowa days multiple aspects. The proposed meeting\, which takes place at CIRM ev ery four years\, intends to gather an important part of this community and to present the most prominent recent results.  Among the new development s we plan to address\, let us mention the various extensions and refinemen ts of the Schmidt subspace theorem in its quantitative forms\; the works c oncerning the Zilber-Pink conjecture and the “unlikely intersections”\ ; recent progress towards Littlewood conjecture and its links with the the ory of dynamical systems\; and finally the emerging topic of “arithmetic al dynamics”.\n\n\n \n\nL'approximation diophantienne a pour objet init ial l'étude de l'approximation d’un point réel par des points rationne ls et les outils qui ont été élaborés à cet égard restent à la base des résultats de transcendance actuels. Il existe une communauté mathé matique diophantienne qui se reconnaît dans cette thématique comportant aujourd’hui de multiples aspects. La conférence proposée\, qui a d’a illeurs un caractère récurrent au CIRM (tous les quatre ans)\, a pour bu t de réunir une partie importante de cette communauté et d’exposer l ’état de l’art. Cinq sujets ayant connu des progrès spectaculaires c es dernières années seront mis en avant. Parmi les nouveaux développeme nts\, mentionnons les diverses extensions et raffinements du théorème du sous-espace de Schmidt dans ses formes quantitatives \; les travaux relat ifs à la conjecture de Zilber-Pink et les “intersections improbables” \; les progrès récents autour de la conjecture de Littlewood et ses lie ns avec la théorie des systèmes dynamiques \; et enfin un sujet émergen t: la “dynamique arithmétique”.\n\n\n\n[su_spacer]\nSpeakers\n\nBoris Adamczewski (CNRS\, Université Claude Bernard Lyon 1)  Mahler's method in several variables    (pdf)   - VIDEO - \nShabnam Akhtari (Univer sity of Oregon)  Lower bounds for the Mahler measures of polynomials that are sum of a bounded number of monomials\nFrancesco Amoroso  (Universit é de Caen)  Factorization of bivariate sparse polynomials \nMike Bennet t (University of British Columbia)  Quartic forms : computations in searc h of a theorem\nVictor Beresnevich (University of York)    Simultaneou s rational approximations to several functions of a real variable  - VIDE O - \nLaura Capuano (University of Oxford)    An effective criterion for periodicity of p-adic continued fractions   - VIDEO - \nMaria Carri zosa (Université Claude Bernard Lyon 1)    Counting polarisations on a belian varieties\nMichael Coons (University of Newcastle)   Two regular questions   (pdf)\nLaura DeMarco (Northwestern University)   Height pa irings\, torsion points\, and dynamics\nJulian Demeio (Scuola Normale Supe riore Pisa)  Hilbert Property and Elliptic Fibrations \nJan-Hendrik Ever tse (Leiden University)     S-parts of values of polynomials\nStépha ne Fischler (Université Paris-Sud)    Irrationality of odd zeta value s\, with (or without) Shidlovsky's lemma \nHajime Kaneko (Tsukuba Unversi ty)   Diophantine approximation and base-b expansion of smooth numbers\n Lajos Hajdu (University of Debrecen)   On the smallest number of terms o f vanishing sums of units in number fields   (pdf)\n​Dong Han Kim (Don gguk University Seoul) The Lagrange and Markov Spectra of Pythagorean tri ples  (pdf)\nNoriko Hirata-Kohno (Nihon University) Linear forms in lo garithms via Padé approximations and their applications\nHolly Krieger  (University of Cambridge)   Height pairings\, torsion points\, and dynam ics  - VIDEO - \nLars Kühne (University of Basel)    The Equidistribu tion Conjecture for Semiabelian Varieties \nSamuel Le Fourn (ENS Lyon)    Around Baker's method for higher-dimensional varieties \nBenjamin Matsc hke (Koc University)   Solving Thue-Mahler equations via the Shimura-Tan iyama conjecture\nNiki Myrto Mavraki (University of British Columbia)    Arithmetic equidistribution\, dynamics and elliptic curves   (pdf)\nNi kolay G. Moshchevitin  (Moscow State University)   Irrationality meas ure functions and Diophantine spectra\nFabien Pazuki (Université de Bord eaux)    Regulators of elliptic curves   - VIDEO - \nGaël Rémond  (Université Grenoble Alpes)   Nouveaux théorèmes d’isogénie\nJef f Thunder (Northern Illinois University)   Counting cubic extensions wi th a given discriminant in positive characteristic\nSanju Velani (Universi ty of York)    Inhomogeneous Diophantine Approximation on M_0-sets with restricted denominators\n​Carlo Viola (Università di Pisa)    Linea r independence of 1\, Li_1 and Li_2\nMartin Widmer (Royal Holloway Colleg e)   Averages for the l-torsion in class groups\n\nSPONSORS\n\n\n\n\n\n\ n\n\n\n\n\n \n\n\n\n\n\n\n\n \n\n\n\n\n\n\n\n \nAutomata in number theo ry\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n \n\n\n\n\n\n\n\n \n\n\n\n\n\n \n\n \n\n\n\n\n\n\n\n\n\n\n\n\n ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2 018/09/image_gdac-hal-01262176-diophantine_approximation-laurent-nogueira- x300.jpg CATEGORIES:Colloque END:VEVENT BEGIN:VTIMEZONE TZID:Europe/Paris X-LIC-LOCATION:Europe/Paris BEGIN:DAYLIGHT DTSTART:20180325T030000 TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST END:DAYLIGHT END:VTIMEZONE END:VCALENDAR