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SUMMARY:Henry Liu (Kavli IPMU)
DTSTART:20260430T080000Z
DTEND:20260430T093000Z
DTSTAMP:20260422T154425Z
UID:HKUST-AG/93
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/HKUST-AG/93/
 ">Wall-crossing for invariants of equivariant 3CY categories (a user guide
 )</a>\nby Henry Liu (Kavli IPMU) as part of Algebra and Geometry Seminar @
  HKUST\n\nLecture held in Room 2126D (Lift 19).\n\nAbstract\nIn practice\,
  in order to apply the Joyce-style wall-crossing formulas from my previous
  talk\, some control over the wall-crossing term is needed. I will explain
  how this wall-crossing term\, in K-theory\, is governed by a certain ``ve
 rtex coproduct'' arising from a multiplicative vertex (co)algebra. This ve
 rtex coproduct is compatible with K-theoretic Hall operations --- which fo
 rm positive halves of quantum loop algebras --- whenever they exist. I wil
 l present formulas for this coproduct in the easiest cases in 3-fold and 4
 -fold Donaldson-Thomas theory. Applications include an explicit descendent
  Donaldson-Thomas/Pandharipande-Thomas vertex correspondence.\n\nLecture s
 eries: Wall-crossing for invariants of equivariant 3CY categories\n
LOCATION:https://researchseminars.org/talk/HKUST-AG/93/
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