Syzygies of hyperplane arrangements and matroids
refreshments at 3:45pm
We present an explicit combinatorial construction for the minimal free
resolutions of the ideals arising from hyperplane arrangements and matroids.
This "lifts" Stanley's formula for the Betti numbers of such ideals.
Connections to hyperplane arrangements on a torus are explored. A relationship
is given between graphic and co-graphic arrangements, Tutte dichromatic
polynomials, and Hermite orthogonal polynomials. This is a joint work with
Isabella Novik and Bernd Sturmfels.
Speaker's Contact Info: apost(at-sign)math.berkeley.edu
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