APIOS Talk 04 Aug 2020

Speaker Dr. Ian Marquette University of Queensland, Australia Title Construction of polynomial algebras related to superintegrable systems Abstract Over the years, it has been discovered that symmetry algebras of superintegrable systems take the form of polynomial algebras. For examples, the integrals of 2D superintegrable models related to fourth and sixth PainlevĂ© transcendent lead to cubic […]

APIOS Talk 21 Jul 2020

Speaker Prof. Youjin Zhang Tsingua University, China Title Special Cubic Hodge Integrals and the Fractional Volterra Hierarchy Abstract We show that the generating function of cubic Hodge integrals satisfying the local Calabi-Yau condition is the tau function of a particular solution of an integrable hierarchy called the fractional Volterra hierarchy. This integrable hierarchy is a […]

APIOS Talk 09 Jul 2020

Speaker Prof. Emer. Masatoshi Noumi Kobe University, Japan Title Perturbative eigenfunctions for the elliptic Ruijsenaars difference operators Abstract I will report recent progresses in the study of joint eigenfunctions for the commuting family of elliptic Ruijsenaars difference operators, on the basis of collaboration with Edwin Langmann (KTH, Sweden) and Junichi Shiraishi (Univerisity of Tokyo, Japan). […]