Title: Representation theory and a strange duality for symplectic varieties
Speaker: Professor Ben Webster
Speaker Info: MIT
Brief Description:
Special Note:
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.Date: Thursday, February 26, 2009