Hypertoric varieties are quaternionic analogs of toric varieties, important for their interaction with the combinatorics of matroids as well as for their prominent place in the rapidly expanding field of algebraic symplectic and hyperkahler geometry.  In the last decade, hypertoric varieties have appeared prominently in investigations of symplectic duality, a mathematical incarnation of 3d mirror symmetry from physics, in part because the mirror dual of a hypertoric variety is also hypertoric. This makes hypertoric varieties useful as testing grounds for more general 3d mirror symmetry expectations.  Starting with an arrangement of real affine hyperplanes in real Euclidean space, we can associate a hypertoric variety M. In this talk, I will talk about different algebras that arise when studying these hyperplane arrangements as well as their relationship to each other and the hypertoric variety M.

Zoom Meeting link:  https://ncsu.zoom.us/j/92762214990?pwd=MnA1TnNVQUpzUlo3cTM5RmlNWVF4Zz09

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