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SUMMARY:SAG: Bézout's theorem for abelian varieties [Seminar Algebraic Ge
 ometry (SAG)]
DTSTART:20261015T083000Z
DTEND:20261015T093000Z
DTSTAMP:20261007T151100Z
UID:indico-event-1618@math-events.uni-bonn.de
DESCRIPTION:Speakers: Ben Moonen (Nijmegen)\n\nAbstract: I'll report on jo
 int work with Olivier Debarre. The main result is that if A is an absolute
 ly simple abelian variety over some field and X\,Y are subvarieties of A\,
  then the dimension of their sum X+Y equals the minimum of dim(A) and dim(
 X)+dim(Y). In characteristic 0\, there is a very nice geometric proof\, bu
 t that argument breaks down in characteristic p. Instead\, we prove this r
 esult as a consequence of a theorem about perverse sheaves\, building upon
  work of Krämer and Weissauer\n\nhttps://math-events.uni-bonn.de/event/16
 18/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/1618/
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