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Seminar
FIELD Math:Geometry
DATE November 11 (Thu), 2021
TIME 16:30-17:30
PLACE Online
SPEAKER Hyeonjun Park
HOST Kim, Bumsig
INSTITUTE SNU
TITLE Virtual pullbacks in Donaldson-Thomas theory of Calabi-Yau 4-folds
ABSTRACT I will introduce a virtual pullback formula between Oh-Thomas virtual cycles on the moduli spaces of sheaves on Calabi-Yau 4-folds. The two main applications are the Lefschetz principle in Donaldson-Thomas theory and the Pairs/Sheaves correspondence. I will explain how they can be applied to the four conjectures in DT4 theory: (1) the Cao-Kool conjecture on the tautological Hilbert scheme invariants, (2) the Cao-Kool-Monavari conjecture on the DT/PT correspondence, (3) the Cao-Maulik-Toda conjecture on the genus zero Gopakumar-Vafa type invariants, and (4) the Cao-Toda conjecture on the JS/GV correspondence.
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