On d-critical birational geometry and categorical DT theories

Yukinobu Toda (Kavli IPMU, Tokyo, Japan)

05-Nov-2020, 12:00-13:00 (3 years ago)

Abstract: In this talk, I will explain an idea of analogue of birational geometry for Joyce's d-critical loci, and categorical Donaldson-Thomas theories on Calabi-Yau 3-folds. The motivations of this framework include categorifications of wall-crossing formulas of DT invariants and also a d-critical analogue of D/K conjecture in birational geometry. The main result is to realize the above story for local surfaces. I will show the window theorem for categorical DT theories on local surfaces and apply it to categorify wall-crossing invariance of genus zero GV invariants, MNOP/PT correspondence, etc.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides | video )


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