Discrete CATS Seminar
U N I V E R S I T Y
K E N T U C K Y
WHERE CATS =
845 PATTERSON OFFICE TOWER
2011 - 2012
"Mahonian partition identities via polyhedral geometry"
University of Kentucky
Monday, October 17, 2011
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.