The Kazhdan-Lusztig polynomial of a matroid
-- Nick Proudfoot, January 23, 2015

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I will describe a polynomial invariant of a matroid
that is in many ways analogous to the Kazhdan-Lusztig
polynomial in representation theory.  When the
matroid is representable, this polynomial may be interpreted in
terms of the intersection cohomology of a certain algebraic
variety and studied using arithmetic
techniques.