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SUMMARY:Okke van Garderen (University of Glasgow\, UK)
DTSTART:20210429T110000Z
DTEND:20210429T120000Z
DTSTAMP:20260423T041409Z
UID:LAGOON/39
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/39/">
 Stability\, duality\, and DT invariants for flopping curves</a>\nby Okke v
 an Garderen (University of Glasgow\, UK) as part of Longitudinal Algebra a
 nd Geometry Open ONline Seminar (LAGOON)\n\n\nAbstract\nThreefold flops ar
 e birational surgeries on a contractible curve that connect minimal models
  of threefolds\, and are therefore crucial to the minimal model program. T
 o examine these flops one would like to compute their Donaldson-Thomas inv
 ariants\, which are virtual counts of semistable objects in the derived ca
 tegory. In this talk I will explain how to determine the semistable object
 s supported on a flopping curve by showing that their K-theory classes are
  dual to a hyperplane arrangement induced by tilting complexes. I will als
 o show how this duality can be categorified to give a full description of 
 the (3-Calabi-Yau) deformation theory of these objects\, which has various
  implications for the DT theory.\n\nhttps://us02web.zoom.us/j/87160036709 
  \nMeeting ID: 871 6003 6709\nPasscode: LAGOON\n
LOCATION:https://researchseminars.org/talk/LAGOON/39/
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