Speaker:  Martina Kubitzke, Univ. of Marburg, Germany
Title:   The Lefschetz property for barycentric subdivisions of shellable complexes.
Time: 4:30 PM, Monday, January 21, 2008
Place:  Malott 205

Abstract:  We show that the barycentric subdivision of a shellable complex satisfies an almost strong Lefschetz property. From this result we can deduce that the g-vector of the barycentric subdivision of a Cohen-Macaulay complex is an M-sequence.  The obtained algebraical result can be further used to derive new inequalities on a refinement of the Eulerian statistics on permutations where permutations are grouped by the number of descents and the image of 1.

All needed background will be given.


February 15, 2008