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SUMMARY:Yun Shi (University of Illinois at Urbana-Champaign)
DTSTART:20201228T003000Z
DTEND:20201228T013000Z
DTSTAMP:20260423T024743Z
UID:iccm2020/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/iccm2020/29/
 ">subschemes on some local toric Calabi-Yau threefolds</a>\nby Yun Shi (Un
 iversity of Illinois at Urbana-Champaign) as part of ICCM 2020\n\n\nAbstra
 ct\nDonaldson-Thomas (DT) theory is an enumerative theory which produces a
  count of ideal sheaves of 1-dimensional subschemes on a Calabi-Yau 3-fold
 . Motivic Donaldson-Thomas theory\, originally introduced by Kontsevich-
 Soibelman\, is a categorification of the DT theory. This categorification 
 contains more refined information of the moduli space. In this talk\, I wi
 ll give a brief introduction to motivic DT theory following the definiti
 on of Bussi-Joyce-Meinhardt\, in particular the role of d-critical locus 
 structure in the definition of motivic DT invariant. I will also discuss
  a result on this structure on the Hilbert schemes of zero dimensional sub
 schemes on some local toric Calabi-Yau threefolds. This is joint work in p
 rogress with Sheldon Katz.\n
LOCATION:https://researchseminars.org/talk/iccm2020/29/
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