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Title:
Lecture Hall Tableaux, Non Intersecting Paths and Tilings

Speaker:
Sylvie Corteel

Abstract:
Lecture Hall tableaux were introduced by Corteel and Kim in 2018 to study the combinatorics of the multivariate Little Jacobi polynomials. They are in bijection with non intersecting paths on a lattice that is not translation invariant and with lozenge tilings of a "spiral" surface. I will present the combinatorics of these objects and asymptotic results.

Link:
https://www.msri.org/workshops/953/schedules/30574

Workshop:
MSRI- [HYBRID WORKSHOP] Integrable Structures in Random Matrix Theory and Beyond