An Application of Dumont's Statistic
Mark Skandera
MIT
April 26,
4:15pm
refreshments at 3:45pm
2338
ABSTRACT

In 1974, Dumont gave an interpretation of the Eulerian
numbers which extends to a number of statistics on permutations
and on arbitrary words.
We apply one such statistic to a special case
of a result of Stanley concerning the flag hvectors of
balanced CohenMacaulay complexes.
Specifically, we give a bijective
proof that for each distributive lattice J(P) which is a
product of chains, there is a poset Q such that the
fvector of Q is the hvector of P. We conjecture that
the result holds for all finite distributive lattices.

Speaker's Contact Info: skan(atsign)math.mit.edu
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