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SUMMARY:Zsolt Patakfalvi (École polytechnique fédérale de Lausanne)
DTSTART:20200526T170000Z
DTEND:20200526T180000Z
DTSTAMP:20260423T021354Z
UID:ZAG/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/12/">On 
 the Beauville-Bogomolov decomposition in positive characteristic</a>\nby Z
 solt Patakfalvi (École polytechnique fédérale de Lausanne) as part of Z
 AG (Zoom Algebraic Geometry) seminar\n\n\nAbstract\nAbstract:  I will pres
 ent a joint with Maciej Zdanowicz towards a positive characteristic versio
 n of the Beauville-Bogomolov decomposition. Over the complex numbers this 
 decomposition was shown using differential geometry methods in the 70's an
 d in the 80's. It concerns varieties with trivial canonical bundle\, which
  we call K-trivial here. The main statement over the complex number is tha
 t smooth projective K-trivial varieties admit an etale cover which splits 
 as a product of three types of varieties: abelian\, Calabi-Yau and symplec
 tic. I will present a similar statement in positive characteristic for (we
 akly) ordinary K-trivial varieties\, the proof of which uses purely positi
 ve characteristic methods.\n
LOCATION:https://researchseminars.org/talk/ZAG/12/
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