Speaker: Volkmar Welker, Philipps-Universität Marburg,
Germany
Title: Golod rings and complements of coordinate
subspace arrangements
Time: 4:45 PM, Monday, March 10, 2008
Place: Malott 205
Abstract: Coordinate subspace arrangements are finite
collections $\{
H_{A_1}, \ldots, H_{A_r} \}$ of linear subspaces $H_A$ defined by
equations
$x_i = 0$ for $i \in A$. Thus coordinate subspace arrangements
and simplicial
complexes are in one-to-one correspondence. It is well known by joint
work
with Gasharov and Peeva and later results by Buchstaber and Panov that
homological
invariants of the Stanley-Reisner ring of a simplicial complex and of
the
corresponding subspace arrangement are closely related. Here we
study implications
of the Golod-property of the Stanley-Reisner ring on the complement of
the
arrangement.
March 1, 2008