"The Rees product of the cubical lattice with the chain"

Patricia Muldoon Brown
University of Kentucky

Monday, February 2, 2009
4:00 pm, 845 Patterson Office Tower

Abstract:

Björner and Welker applied the algebraic concept of Rees products to posets, proving that the Rees product of two Cohen-Macaulay posets is also Cohen-Macaulay. We discuss a specific CM example of this poset product between the face lattice of the n-cube and the chain. We will look at this poset's top homology group using enumerative combinatorics, topology, and representation theory. This is joint work with Margaret Readdy.