Cylindric partitions

Date: 23/11/2022
Time: 14:00 - 15:30


Abstract: Cylindric partitions are an affine analogue of plane partitions. They were first introduced in 1997 by Gessel and Krattenthaler, and are closely related to the representation theory of the affine Lie algebra $\mathrm{A}_{r-1}^{(1)}$. In this talk I will try to explain why cylindric partitions have become such a powerful combinatorial tool for discovering new identities of the Rogers--Ramanujan type.