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UID:8005@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20150921T140000
DTEND;TZID=Europe/Paris:20150921T150000
DTSTAMP:20241120T205624Z
URL:https://www.i2m.univ-amu.fr/evenements/growth-conditions-associated-to
 -ample-or-big-line-bundles/
SUMMARY:David Witt Nyström (...): Growth conditions associated to ample (o
 r big) line bundles
DESCRIPTION:David Witt Nyström: I will discuss a new construction which as
 sociates to any ample (or big) line bundle on a projective manifold a cano
 nical growth condition (i.e. an equivalence class of psh functions with bo
 unded differences) on the tangent space of any given point. The canonical 
 growth condition can be seen to encode such classical invariants as the vo
 lume and the Seshadri constant. It is inspired by toric geometry\, and in 
 fact in the toric case the growth condition is "equivalent" to the moment 
 polytope. As in the toric case the growth condition says a lot about the K
 ähler geometry of the manifold. I will present a theorem about Kähler em
 beddings of large balls\, which generalizes the connection between Seshadr
 i constants and Gromov width established by McDuff and Polterovich.\n\n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/David_Witt-Nystrom.jpg
CATEGORIES:Séminaire,Dynamique et Topologie
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DTSTART:20150329T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
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