Speaker
Sofia Tarricone
(Université d'Angers/Concordia University )
Description
This talk is focused on some properties of a matrix generalization of the Painlev´e II hierarchy. In particular, we consider Fredholm determinants of matrix convolution operators associated to matrix versions of the n−th Airy functions. Using the theory of integrable operators, we relate them to a fully noncommutative Painlev´e II hierarchy, defined through a matrix valued version of the Lenard operators. In particular we show how to find a matrix valued Lax pair of this hierarchy and, as by product, how to obtain solutions in terms of the Fredholm determinants above. (https://arxiv.org/abs/2007.05707)
Primary author
Sofia Tarricone
(Université d'Angers/Concordia University )
