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SUMMARY:Daniel Halpern-Leistner (Cornell University)
DTSTART:20210427T150000Z
DTEND:20210427T160000Z
DTSTAMP:20260423T021651Z
UID:DerSem/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/DerSem/17/">
 Window categories and wall crossing</a>\nby Daniel Halpern-Leistner (Corne
 ll University) as part of Derived seminar\n\n\nAbstract\nThe D-equivalence
  conjecture\, due to Bondal\, Orlov\, and Kawamata\, predicts that a birat
 ional equivalence between smooth projective varieties that preserves the c
 anonical bundle should induce an equivalence of derived categories of cohe
 rent sheaves. I will give an overview of "window categories" in equivarian
 t derived categories of coherent sheaves\, which can be used to construct 
 derived equivalences for birational transformations coming from variation 
 of GIT quotient. I will then discuss how these were used recently to prove
  the D-equivalence conjecture for projective Calabi-Yau manifolds in the b
 irational equivalence class of a moduli space of sheaves on a K3 surface.\
 n
LOCATION:https://researchseminars.org/talk/DerSem/17/
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