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

2011 - 2012

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"Mahonian partition identities via polyhedral geometry"

Robert Davis

University of Kentucky

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Monday, October 17, 2011

4:00 pm

845 POT

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Abstract:

In the 1990s, George Andrews et al. revived MacMahon's largely
forgotten Partition Analysis, used to find generating function
identities for various classes of integer partitions. While a powerful
tool, the identities can often be proven more easily and in greater
generality by interpreting the partitions as the integer points in
certain polyhedra. In this talk, I will present work by Beck, Braun,
and Le that proves and extends many of these identities geometrically.