Séminaire Combinatoire et Théorie des Nombres ICJ

Certain conjectures on domino plane partitions

by Masao Ishikawa (Université d'Okayama)

ICJ, salle Fokko du Cloux

ICJ, salle Fokko du Cloux


We introduce four classes of domino plane partitions and give two weights, i.e., $t$-weight and $\tau$-weight. We observe that many interesting integer sequences related to alternating sign matrices and plane partition appear by specializing the parameters $t$ and $\tau$. We obtain determinantal expressions for the generating functions, but the evaluation of the determinants are not completed. Hence I state several conjectures related to  the generating functions of these classes of domino plane partitions.