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UID:20250730T034151EDT-9259G0HUa8@132.216.98.100
DTSTAMP:20250730T074151Z
DESCRIPTION:Title: Special manifolds and the Kobayashi pseudometric.\n\nAbs
 tract: If $X$ is a submanifold of an Abelian variety\, the Ueno fibration 
 $p:X\to Z$ turns $X$ into a bundle with fibres $B$\, an Abelian subvariety
  of $A$\, and $Z\subset A/B$\, of general type. Let $d_X$ be the Kobayashi
  pseudodistance on $X$. Then $d_X=p^*(d_Z)$\, and $d_Z$ is a metric generi
 cally on $Z$ by Lang's conjecture (solved here by K. Yamanoi).\n\nThe goal
  is to give a similar description for arbitrary projective $X$\, using its
  `Core map' $c:X\to Z$\, which has `special' fibres $X_z$\, and `orbifold 
 base' $(Z\,D_c)$ of general type\, so that its naturally defined Kobayashi
  pseudodistance should be generically a metric on $Z$ . $D_c$ is a divisor
  on $Z$\, nonzero in general\, which encodes the multiple fibres of $c$. $
 X_z$ `Special' means that $\Omega^p_{X_z}$ has no rank-one subsheaf of max
 imal Kodaira dimension $p$. They are conjecturally exactly the ones with $
 d_X\equiv 0$.\n\nThe talk will give the relevant definitions\, and illustr
 ate the conjecture by examples.\n\n------\n\nOnline meeting details:\n\n 
 \n\nLink: https://webvisio.univ-lorraine.fr/fr-CA/meeting\n\nReunion ID : 
 5132\n\nPIN : 2680\n\nN.B. Please note that this is not zoom and uses an U
 niversity of Lorraine video conferencing software — It opens in an interne
 t browser but has some compatibility problem with firefox and so one needs
  to avoid some browsers.\n
DTSTART:20241213T150000Z
DTEND:20241213T160000Z
SUMMARY:Frederic Campana (University of Lorraine\, Nancy)
URL:/mathstat/channels/event/frederic-campana-universi
 ty-lorraine-nancy-362077
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