Department of Mathematics - Algebra and Geometry Seminar - The Hamiltonian reduction of hypertoric mirror symmetry

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.