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SUMMARY:Daniel Halpern-Leistner
DTSTART:20210112T150000Z
DTEND:20210112T160000Z
DTSTAMP:20260423T052833Z
UID:Freemath/34
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Freemath/34/
 ">Derived Theta-stratifications and the D-equivalence conjecture</a>\nby D
 aniel Halpern-Leistner as part of Free Mathematics Seminar\n\n\nAbstract\n
 Every vector bundle on a smooth curve has a canonical filtration\, called 
 the Harder-Narasimhan filtration\, and the moduli of all vector bundles ad
 mits a stratification based on the properties of the Harder-Narasimhan fil
 tration at each point. The theory of Theta-stratifications formulates this
  structure on a general algebraic stack. I will discuss how to characteriz
 e stratifications of this kind\, and why their local cohomology is particu
 larly well-behaved. I will then explain how Theta-stratifications are part
  of a recent proof of a case of the D-equivalence conjecture: for any proj
 ective Calabi-Yau manifold X that is birationally equivalent to a moduli s
 pace of semistable coherent sheaves on a K3 surface\, the derived category
  of coherent sheaves on X is equivalent to the derived category of this mo
 duli space. This confirms a prediction from homological mirror symmetry fo
 r this class of compact Calabi-Yau manifold\n
LOCATION:https://researchseminars.org/talk/Freemath/34/
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