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SUMMARY:SAG: On the Euler characteristic of ordinary irregular varieties [
 Public Event]
DTSTART:20251211T093000Z
DTEND:20251211T113000Z
DTSTAMP:20260308T050100Z
UID:indico-event-989@math-events.uni-bonn.de
DESCRIPTION:Speakers: Jefferson Baudin (EPFL)\n\nOver the complex numbers\
 , a useful tool to study the geometry of irregular varieties is generic va
 nishing. This has led to several remarkable results: characterization of a
 belian varieties by only fixing a few invariants\, deeper understanding of
  the Euler characteristic of irregular varieties\, study of their plurican
 onical systems\, and so on.\nThese theorems rely on vanishing results of a
 nalytic nature\, making this whole topic harder to reach in positive chara
 cteristic. Our goal in this talk will be to explain how generic vanishing 
 works in positive characteristic\, through the prism of the study of Euler
  characteristics. We will present the following theorem: if X is a smooth 
 projective ordinary variety of maximal Albanese dimension (i.e. dim(alb(X)
 ) = dim(X))\, then the Euler characteristic of the sheaf of top forms is n
 on-negative. If in addition this quantity is zero\, then the Albanese imag
 e of X is fibered by abelian varieties.\nThe proof uses the positive chara
 cteristic generic vanishing theory developed by Hacon-Patakfalvi\, as well
  as our recent Witt vector version of Grauert-Riemenschneider vanishing.\n
 \nhttps://math-events.uni-bonn.de/event/989/
LOCATION:MPIM\, Vivatsgasse\,  7 - Conference Room (Max Planck Institute f
 or Mathematics)
URL:https://math-events.uni-bonn.de/event/989/
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