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A partition of a positive integer n is a non-increasing sequence of positive integers whose sum is n. A Rogers-Ramanujan type identity is a theorem stating that for all n, the number of partitions of n satisfying some difference conditions equals the number of partitions of n satisfying some congruence conditions. Lepowsky and Wilson were the first to exhibit a connection between Rogers-Ramanujan type partition identities and representation theory in the 1980's, followed by several others. In this talk, we will study a partition identity of Primc which arose from crystal base theory, and we will see how a combinatorial approach allows one to refine and generalise it. This is joint work with Jeremy Lovejoy.

note special day (Fri instead of Mon)