Discrete CATS Seminar
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U N I V E R S I T Y O F K E N T U C K Y

DISCRETE
CATS
SEMINAR

WHERE CATS =
COMBINATORICS,
ALGEBRA,
TOPOLOGY
&
STATISTICS!

845 PATTERSON OFFICE TOWER

2008 - 2009

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

Patricia Muldoon Brown

University of Kentucky

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Monday, February 2, 2009

4:00 pm, 845 Patterson Office Tower

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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.