Speaker
Arno Kuijlaars
(Katholieke Universiteit Leuven)
Description
Matrix valued orthogonal polynomials play a role in random tiling models with periodic weightings. The talk will be focused on lozenge tilings of a hexagon, and it will be shown that the matrix valued orthogonality can be related to orthogonality for meromorphic functions on a Riemann surface. The higher genus cases are of particular interest since these are believed to correspond to random tiling models with three different phases in the large size limit.
Primary author
Arno Kuijlaars
(Katholieke Universiteit Leuven)
