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SUMMARY:Soheyla Feyzbakhsh (Imperial College London)
DTSTART:20220201T150000Z
DTEND:20220201T160000Z
DTSTAMP:20260423T021448Z
UID:ZAG/182
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/182/">Mo
 duli spaces of stable objects in the Kuznetsov component of cubic threefol
 ds</a>\nby Soheyla Feyzbakhsh (Imperial College London) as part of ZAG (Zo
 om Algebraic Geometry) seminar\n\n\nAbstract\nWe will first discuss a gene
 ral criterion that ensures a fractional Calabi-Yau category of dimension l
 ess than or equal to 2 admits a unique Serre-invariant stability condition
  up to the action of the universal cover of GL+(2\, R). This result can be
  applied to a certain triangulated subcategory (called the Kuznetsov compo
 nent) of the bounded derived category of coherent sheaves on a cubic three
 fold. As an application\, we will prove (i) a categorical version of the T
 orelli theorem holds for cubic threefolds\, and (ii) the moduli space of U
 lrich bundles of fixed rank r greater than or equal to 2 on a cubic threef
 old is irreducible. The talk is based on joint work with Laura Pertusi and
  a group project with A. Bayer\, S.V. Beentjes\, G. Hein\, D. Martinelli\,
  F. Rezaee and B. Schmidt.\n
LOCATION:https://researchseminars.org/talk/ZAG/182/
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