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Quiver stacks and mirror symmetry


Speaker: Siu-Cheong Lau, Boston University
Location: Zoom
Start time: Tue, May 17 2022, 1:10PM

In this talk, I will explain the notion of a quiver stack, which can be understood as a noncommutative generalization of a manifold, by replacing usual commutative charts with quiver algebras. One motivation comes from quiver crepant resolutions of singularities formulated by Van den Bergh. I will explain how they come up as mirrors of Lagrangian Floer theory extended over noncommutative algebras, and how such a notion helps in the construction of the mirror functor for homological mirror symmetry.