"Mahonian partition identities via polyhedral geometry"

Robert Davis
University of Kentucky

Monday, October 17, 2011
4:00 pm
845 POT

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.