Department of Mathematics - Seminar on Pure Mathematics - Isomonodromy Equations and the Inverse Monodromy Problem

In this talk, we will introduce our recent work on some isomonodromy equations. These can be regarded as higher Painlevé equations. Our main result concerns the asymptotic behavior of their generic solutions; we also provide series solutions derived from the monodromy data and use this approach to study the inverse monodromy problem.