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Speaker: Kathryn Nyman,
Inequalities for the h and flag h-vectors of geometric lattices
Abstract: Geometric lattices arise out of the structure of
arrangements of points in space. Two enumerative invariants associated to
geometric lattices are the h- and flag h-vectors. The flag h-vector is
associated to descents of chain labels in the lattice and gives information
about certain polytopes associated to oriented matroids (zonotopes). We will
take a brief look at these vectors, the inequalities they satisfy and the
geometric lattices which minimize and maximize them.
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Modified on 7/7/03