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UID:8185@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20150126T000000
DTEND;TZID=Europe/Paris:20150130T000000
DTSTAMP:20241120T210059Z
URL:https://www.i2m.univ-amu.fr/evenements/introduction-to-artin-approxima
 tion-and-the-geometry-of-power-series-spaces-morlet-chair-herwig-hauser/
SUMMARY:School (CIRM\, Luminy\, Marseille): Introduction to Artin Approxima
 tion and the Geometry of Power Series Spaces (Morlet Chair - Herwig Hauser
 )
DESCRIPTION:School: \n\n\n\n\n CIRM - Jean-Morlet Chair \n Herwig Hauser &a
 mp\; Guillaume Rond\n\nSingularities and Artin Approximation​\n\nSingula
 rités et approximation de Artin\n\n\n 2015-Semester 1 \n\n\n\n\n\n\n\n\n\
 n\n\n\n\n\n\n\n\n\nRESEARCH SCHOOL\nIntroduction to Artin Approximation an
 d the Geometry of Power Series Spaces (1254)\nIntroduction à l'approximat
 ion de Artin et à la géométrie\nDates: 26-30 January at CIRM (Marseille
 \, France)\nPlace : CIRM (Marseille Luminy\, France)\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 SCHEDULE \n\n\n\n\n\n PARTICIPANTS \n\n\n
 \n\n\n ABSTRACTS \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\nDESCRIPTION\n\n\n\nThe programme is organized around four cla
 sses covering the main techniques and results in the field. The afternoon 
 will be dedicated to problem sessions and work in small groups.\n\nThe pla
 nned contents are:\n\n(1) Basic commutative algebra techniques (completion
 \, henselization\, Weierstrass division\, Zariski Main Theorem)\, rank the
 orem in infinite dimensional geometry. (Herwig Hauser)\n\n(2) Classical ap
 proximation theorems\, counter-examples to various generalizations\, neste
 d approximation theorem. (Guillaume Rond)\n\n(3) General Néron Desingular
 ization theorem and Artin Approximation\, étale and smooth morphisms. (Do
 rin Popescu)\n\n(4) Algebraic power series\, generating series\, algebraic
  power series in positive characteristic\, automata\, applications to numb
 er theory. (Boris Adamczewski)\n\nThe participants will be informed in adv
 ance of the contents of the classes and preparatory reading material will 
 be distributed. They should thus arrive with a good knowledge of the basic
  techniques. The goal of the school is to deepen and broaden this knowledg
 e and to propose attractive research topics so as motivate them to do genu
 ine research in the field. In addition to this one week school\, we propos
 e to give a one semester course on commutative algebra and power series te
 chniques for the more advanced students of the Marseille area.\n\n\n\n \n
 \nSCIENTIFIC COMMITTEE\n\n\n 	Michael Artin (MIT Cambridge US)\n 	Vladimir
  Drinfeld (Chicago)\n 	János Kollár (Princeton)\n 	Shigefumi Mori (RIMS 
 Japan)\n\n\n\nORGANIZING COMMITTEE\n\n\n 	Herwig Hauser (Vienna)\n 	Guilla
 ume Rond (Aix-Marseille)\n\n\n\nSPEAKERS\n\n\n 	Boris Adamczewski (CNRS\, 
 Aix-Marseille)\n\nPower Series\, Automata and Number Theory\n\n 	Herwig Ha
 user (Vienna)\n\nCommutative Algebra for Artin Approximation\n\n 	Dorin Po
 pescu (Institute of Mathematics of the Romanian Academy)\n\nGeneral Néron
  Desingularization and Artin Approximation\n\n 	Guillaume Rond (Aix-Marsei
 lle)\n\nClassical Approximation Results\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\nS
 PONSORS\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
CATEGORIES:Manifestation scientifique,Morlet Chair Semester,Morlet School
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