BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20250918T101700EDT-6419OvvtTM@132.216.98.100 DTSTAMP:20250918T141700Z DESCRIPTION:title: Nonlinear differential equations and the geometric appro ach.\n\nAbstract: Nonlinear differential equations may have complicated si ngularities in the complex plane. Painleve equations are nonlinear second order differential equations solutions of which have no movable critical p oints. They have a lot of nice properties. The quasi-Painleve equations ad mit algebraic branch points. The geometric approach to the Painleve equati ons was developed in the works of K. Okamoto\, H. Sakai and many others. I n thisvtalk I shall present some recent results using the geometric approa ch (including\, if time permits\, the general procedure of the reduction o f recurrence coefficients of semi-classical orthogonal polynomials to the Painleve equations as an example of the solution of the so-called Painleve equivalence problem\, equations with the algebro-Painleve property\, equa tions with the quasi-Painleve property\, Lienard type equations and so on) . This talk is based on several published papers and preprints joint with A. Dzhamay\, A. Ligeza\, A. Stokes and T. Kecker.\n\n \n\n \n\nTo get your Zoom access\, please subscribe to the lists of your choice: https://forms .gle/axqFGSkRkbkdFtE68\n DTSTART:20220419T193000Z DTEND:20220419T203000Z SUMMARY:Galina Filipuk\, University of Warsaw URL:/mathstat/channels/event/galina-filipuk-university -warsaw-339114 END:VEVENT END:VCALENDAR