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SUMMARY:Gromov-Hausdorff Limits of Curves with Flat Metrics and Non-Archim
edean Geometry
DTSTART;VALUE=DATE-TIME:20180223T133000Z
DTEND;VALUE=DATE-TIME:20180223T143000Z
DTSTAMP;VALUE=DATE-TIME:20210412T230648Z
UID:indico-event-3311@indico.math.cnrs.fr
DESCRIPTION:Two versions of the SYZ conjecture proposed by Kontsevich and
Soibelman give a differential-geometric and a non-Archimedean recipes to f
ind the base of the SYZ fibration associated to a family of Calabi-Yau man
ifolds with maximal unipotent monodromy. In the first one this space is th
e Gromov-Hausdorff limit of associated geodesic metric spaces\, and in the
second one it is a subset of the Berkovich analytification of the associa
ted variety over the field of germs of meromorphic functions over a punctu
red disc. In this talk I will discuss a toy version of a comparison betwee
n the two pictures for maximal unipotent degenerations of complex curves w
ith flat metrics with conical singularities\, and speculate how the techni
ques used can be extended to higher dimensions.\n\nhttps://indico.math.cnr
s.fr/event/3311/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/3311/
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