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Monday, 6 February | |||
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Time | Speaker | Title | Location |
14:00 - 15:30 |
Dr. Hyeonjun Park KIAS Korea |
Abstract
In this talk, I will introduce a virtual pullback formula between Oh-Thomas virtual cycles for moduli spaces of sheaves on Calabi-Yau 4-folds. I will explain a natural compatibility condition between obstruction theories which provides the formula. In the perspective of derived algebraic geometry, this compatibility condition can be understood as Lagrangian correspondences of (-2)-shifted symplectic derived schemes.
The two main applications are the Lefschetz principle and the Pairs/Sheaves correspondence. In particular, these prove various conjectures in DT4 theory under some assumptions. Examples include (1) the Cao-Kool conjecture on tautological Hilbert scheme invariants, (2) the Cao-Kool-Monavari conjecture on DT/PT correspondence, and (3) the Cao-Maulik-Toda conjecture on genus zero Gopakumar-Vafa type invariants.
Algebraic Geometry and Moduli SeminarVirtual pullbacks in Donaldson-Thomas theory of Calabi-Yau 4-foldsread_more |
ITS |
Tuesday, 7 February | |||
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Time | Speaker | Title | Location |
13:30 - 15:00 |
Dr. Fenglong You ETH Zürich |
Abstract
I will talk about how relative quantum cohomology, defined by Tseng-You and Fan-Wu-You, varies under birational transformations. Relation with FJRW theory and extremal transitions of absolute Gromov--Witten theory will also be discussed.
Algebraic Geometry and Moduli SeminarRelative quantum cohomology under birational transformationsread_more |
ITS |
Wednesday, 8 February | |||
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— no events scheduled — |
Thursday, 9 February | |||
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— no events scheduled — |
Friday, 10 February | |||
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— no events scheduled — |