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TZID:Europe/Vienna
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DTSTART:20170326T030000
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TZOFFSETTO:+0200
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DTSTART:20171029T020000
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BEGIN:VEVENT
DTSTAMP:20260428T111747Z
UID:587df9e30af2d514278049@ist.ac.at
DTSTART:20170426T134500
DTEND:20170426T164500
DESCRIPTION:Speaker: Herwig Hauser\nhosted by Tamas Hausel\nAbstract: Groth
 endieck asked whether the formal relations between analytic functions are 
 generated by the analytic ones. Gabrielov gave a spectacular counterexampl
 e to this. Artin proved\, on the opposite side\, that the formal solutions
  of analytic equations can be arbitrarily well approximated by analytic so
 lutions. And Nash proposed to study the singularities of algebraic varieti
 es and their resolution through the arc space\, the space of all formal cu
 rves on the variety.\n\nIn the talk\, we first revisit this panorama and d
 iscuss various extensions of it\, and then describe techniques from infini
 te dimensional differential geometry which allow us to understand Artin's 
 approximation theorem and the theory of arc spaces from a geometric viewpo
 int.\n
LOCATION:Mondi Seminar Room 2\, Central Building\, ISTA
ORGANIZER:jdeanton@ist.ac.at
SUMMARY:Herwig Hauser: Artin Approximation\, Arc Spaces\, and Infinite Dime
 nsional Geometry
URL:https://talks-calendar.ista.ac.at/events/579
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