The Symplectic Schur Process - Integrability and Algebraic Combinatorics

Explore the intricacies of the Symplectic Schur Process in this 52-minute lecture presented by Cesar Cuenca from Ohio State University at IPAM's Integrability and Algebraic Combinatorics Workshop. Delve into the introduction of a new symmetric function that serves as the skew Schur function for symplectic groups. Discover the combinatorial identities developed for this function and their application in constructing the Symplectic Schur Process. Examine the similarities between this new probability ensemble and the classical Schur process of Okounkov-Reshetikhin, including its determinantal point process properties and connection to the Berele insertion algorithm. Gain insights into potential applications of this process and learn about the collaborative work with Matteo Mucciconi that forms the basis of this presentation.