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UID:news2024@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20260518T115517
DTSTART;TZID=Europe/Zurich:20260526T103000
SUMMARY:Seminar Algebra and Geometry: Wendelin Lutz (Universität Hannover)
DESCRIPTION:Let Y be a Calabi—Yau variety. The Morrison Cone Conjecture i
 s a fundamental conjecture in Algebraic Geometry on the geometry of the ne
 f cone and the movable cone of Y: while these cones are usually not ration
 al polyhedral\, the cone conjecture predicts that the action of Aut(Y) on 
 Nef(Y) admits a rational polyhedral fundamental domain\, and that the acti
 on of Bir(Y) on Mov(Y) admits a rational polyhedral fundamental domain. Ev
 en though the conjecture has been settled in special cases\, it is still w
 ide open in dimension at least 3. We prove that if the cone conjecture hol
 ds for a smooth Calabi-Yau threefold Y\, then it also holds for any smooth
  deformation of Y.  If time permits\, I will explain how to generalize so
 me of the ideas to the case of log Calabi-Yau varieties.
X-ALT-DESC:<p>Let Y be a Calabi—Yau variety. The Morrison Cone Conjecture
  is a fundamental conjecture in Algebraic Geometry on the geometry of the 
 nef cone and the movable cone of Y: while these cones are usually not rati
 onal polyhedral\, the cone conjecture predicts that the action of Aut(Y) o
 n Nef(Y) admits a rational polyhedral fundamental domain\, and that the ac
 tion of Bir(Y) on Mov(Y) admits a rational polyhedral fundamental domain. 
 Even though the conjecture has been settled in special cases\, it is still
  wide open in dimension at least 3. We prove that if the cone conjecture h
 olds for a smooth Calabi-Yau threefold Y\, then it also holds for any smoo
 th deformation of Y. &nbsp\;If time permits\, I will explain how to genera
 lize some of the ideas to the case of log Calabi-Yau varieties.</p>
DTEND;TZID=Europe/Zurich:20260526T120000
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