Abstract:
Arrowed Gelfand-Tsetlin patterns have recently been introduced to study alternating sign matrices.
In this talk we present a (−1)-enumeration of arrowed GT patterns and of a subclass, which can be expressed
by simple product formulas. The (-1)-enumeration in the first case is a one-parameter generalisation of the
sequence 1, 4, 60, 3328,... that appeared in recent work of Di Francesco.
We further provide signless interpretations of our results. The proofs are based on a recent
Littlewood-type identity by Fischer and are assisted by the implementation of Sister Celine's algorithm
as well as creative telescoping by Koutschan, and by Wegschaider and Riese.
The talk is based on joint work with Ilse Fischer.
(-1)-Enumerations of arrowed Gelfand-Tsetlin patterns
16.05.2023 15:15 - 16:45
Organiser:
M. Drmota
Location: