Asymptotic Properties of Isomonodromic Deformation Equations
Time: 2022-03-15
Published By: Wenqiong Li
Speaker(s): Xiaomeng Xu(Peking University)
Time: 15:15-17:00 March 17, 2022
Venue: Room 9, Quan Zhai, BICMR
Abstract: Painlevé transcendents play the same role in nonlinear mathematical physics as that of classical special functions, like Airy functions, Bessel functions, etc., in linear physics. It is the asymptotic properties and connection formula make Painlevé transcendents as efficient in applications as linear special functions. In this talk, we derive the asymptotic and connection formula for the higher rank analog of Painlevé VI arising from the isomonodromic deformation theory and the study of Frobenius manifolds.
