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:5996@i2m.univ-amu.fr DTSTART;TZID=Europe/Paris:20220630T143000 DTEND;TZID=Europe/Paris:20220630T163000 DTSTAMP:20241209T161758Z URL:https://www.i2m.univ-amu.fr/evenements/a-computer-based-algorithmic-ap proach-to-the-study-of-automorphism-groups-orbits-of-smooth-rational-curve s-unirationality-and-projective-models-of-k3-surfaces/ SUMMARY:Cédric Mazet (I2M\, Aix-Marseille Université): A computer-based a lgorithmic approach to the study of automorphism groups\, orbits of smooth rational curves\, unirationality and projective models of K3 surfaces DESCRIPTION:Cédric Mazet: Une approche algorithmique informatisée de l'é tude des groupes d'automorphisme\, des orbites de courbes rationnelles lis ses\, de l'unirationalité et des modèles projectifs de surfaces K3\nsous la direction du Professeur Xavier Roulleau.\nA computer-based algorithmic approach to the study of automorphism groups\, orbits of smooth rational curves\, unirationality and projective models of K3 surfaces (thesis)\nAbs tract: The initial aim of this thesis consisted in determining automorphis m groups and upper bounds on the number of orbits of smooth rational curve s on surfaces in the family of K3 surfaces having a Néron-Severi group is omorphic to the lattice with Gram matrix\n\n\n\n\n\n\n\n\n\nwith respect t o a xed basis.\nTo this end\, we put computer science at the service of pure mathematics and implemented various computer-based algorithmic soluti ons that take advantage of a wide array of tools and modern techniques. Th ese solutions not only enabled us to perform a complete study of the famil y of K3 surfaces mentioned above by determining projective models\, comput ing automorphism groups\, studying the orbits of smooth rational curves an d discussing the unirationality of their moduli spaces\, hence enabling us to provide results far exceeding the objectives which had been set for th is thesis\, but also turn out to have a framework of application which goe s far beyond the family of surfaces mentioned earlier. From the outset of this thesis\, we indeed had in mind to develop solutions with a broad scop e of application. This endeavor resulted in the production of many compute r-based solutions for the study of K3 surfaces\, which will hopefully open up new perspectives and help popularize even more the eld of study of K 3 surfaces. Please note that all programs produced during this thesis are released in public access: All computer-based solutions produced during th is thesis are detailed and available for download on K3surfaces.com.\nKeyw ords: K3\, Sage\, Magma\, automorphisms\, smooth rational curves\, K3surfa ces.com\, K3SU.com\nComposition du Jury\n\n\n\n\nFrédéric MANGOLTE\nAix- Marseille Université\nPrésident du Jury\n\n\nXavier ROULLEAU\nAix-Marsei lle Université\nDirecteur de thèse\n\n\nAlice GARBAGNATI\nUniversità St atale di Milano\nRapporteuse\n\n\nDavide VENIANI\nStuttgart University\nRa pporteur\n\n\nAlessandra SARTI\nUniversité de Poitiers\nExaminatrice\n\n\ nPierre LAIREZ\nÉcole Polytechnique\nExaminateur\n\n\n\n ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2 022/05/k3susrfaces.png CATEGORIES:Soutenance de thèse,AGT LOCATION:Saint-Charles - FRUMAM (2ème étage)\, 3 Place Victor Hugo\, Mar seille\, 13003\, France X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=3 Place Victor Hugo\, Marse ille\, 13003\, France;X-APPLE-RADIUS=100;X-TITLE=Saint-Charles - FRUMAM ( 2ème étage):geo:0,0 END:VEVENT BEGIN:VTIMEZONE TZID:Europe/Paris X-LIC-LOCATION:Europe/Paris BEGIN:DAYLIGHT DTSTART:20220327T030000 TZOFFSETFROM:+0100 TZOFFSETTO:+0200 TZNAME:CEST END:DAYLIGHT END:VTIMEZONE END:VCALENDAR