The Hamiltonian reduction of hypertoric mirror symmetry

Abstract: I will describe recent work with Vivek Shende and Peng Zhou, which relates the Fukaya category of a multiplicative hypertoric variety to the Fukaya category of its associated toric arrangement. This provides evidence for a general conjecture which describes the `hamiltonian reduction' of a Fukaya category at singular values of the moment parameter. Despite the subject, the talk should be accessible to someone unfamiliar with the Fukaya category.

algebraic geometryrepresentation theory

Audience: researchers in the topic

Algebra and Geometry Seminar @ HKUST

Series comments: Algebra and Geometry seminar at the Hong Kong University of Science and Technology (HKUST).

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