MIT COMBINATORICS SEMINAR
Algebras of Chern forms on flag manifolds and forests
Alexander Postnikov (MIT)
4:15 p.m., Wednesday, February 11, 1998
The algebra generated by the Chern forms of standard line bundles over the
flag manifold Fl_n is a natural extension of the cohomology ring of Fl_n.
We show that the dimension of this algebra is equal to the number of forests
on n labelled vertices. We present an explicit construction for a monomial
basis. More generally, the results naturally extend to a wider class of
algebras, whose bases are labelled by generalized parking functions.
This is a joint work with Boris Shapiro and Mikhail Shapiro.