Integer partitions have been an interesting combinatorial
object for centuries but we still have a lot left to understand.
In this talk we will see an uncommon way to view partitions
using ‘Abaci’ and use this to illustrate partition division
(defining t-cores and t-quotients of a given integer partition).
I am planning to go in more detail with a special kind of
partition called t-core (partitions) and discuss different
ways to enumerate related objects.