Weight-preserving bijections between integer partitions and a family of alternating sign trapezoids

01.12.2020 15:15 - 16:45

Hans Hoengesberg

Abstract: Alternating sign trapezoids with n rows and l entries in the bottom row are known to be equinumerous with column strict shifted plane partitions of class l-1 and with at most n parts in the first row. No bijective proof is known so far. In this talk, I will present a (family of) weight-preserving bijection(s) in a special case, namely between column strict shifted plane partitions with only one row (aka integer partitions) and alternating sign trapezoids with only one column in the left half that sums to 1.

Zoom-Meeting beitreten: zoom.us/j/95912775337 
Meeting-ID: 959 1277 5337
Kenncode: 4cX65L

Organiser:

Ch. Krattenthaler

Location:
Online via Zoom