Speaker: Margaret Readdy, University of Kentucky
Title: q-Stirling identities revisited
Abstract: We give combinatorial proofs of q-Stirling identities using restricted growth words. This includes a poset theoretic proof of Carlitz's identity, a new proof of the q-Frobenius identity of Garsia and Remmel and of Ehrenborg's Hankel q-Stirling determinantal identity. We also develop a two parameter generalization to unify identities of Mercier and include a symmetric function version.
This is joint work with Yue Cai and Richard Ehrenborg.