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Abstract:
In recent work with Braden, Licata and Proudfoot, we showed
that certain algebras constructed from hyperplane arrangements
have a number of nice properties which are
surprisingly reminiscent of the BGG category O; in particular, they
are Koszul, and Koszul duality corresponds to a well known
combinatorial duality. I'll explain why we think properties are
connected to a geometric origin for both these categories, and how
this suggests an underlying duality between pairs of symplectic
varieties.
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