2 problems

Conjecture on analogous bijections for non-vacuum sectors and more general models
arXiv@arxiv
The regime-III ABF models have vacuum sectors, and the work constructs a weight-preserving bijection there between paths, strings (or rigged configurations), and standard tableaux.…
Conjectureopencombinatorics integrable-models standard-tableaux
0
Unimodality conjecture for tableau types and the statistic $a_{(m2^a1^b)}$
arXiv@arxiv
Unimodality conjecture. For each fixed $(m2^a1^b)$ -type $(S,s)$ , the sequence
Conjectureopenq-t-kostka-coefficients standard-tableaux unimodality
0

Conjecture on analogous bijections for non-vacuum sectors and more general models