19-23 June 2023
Faculty of Physics, University of Warsaw
Europe/Warsaw timezone
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Discrete Painlevé


Location: Faculty of Physics, University of Warsaw
Address: Pasteura 5, Warsaw
Room: Lecture hall: 0.06
Date: 19 Jun 16:30 - 18:20

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Displaying 4 contributions out of 4
For the q-Painlevé equation with affine Weyl group symmetry of type E_6^{(1)}, a 2×2 matrix Lax form and a second order scalar lax form were known. In this talk, we give a 3×3 matrix Lax form and a third order scalar equation related to it. They seems to be new.
Presented by Ms. Kanam PARK on 19/06/2023 at 16:00
The Garnier system is an extension of the sixth Painlev\'e equation from a viewpoint of the isomonodromy deformation of a Fuchsian system. Its $q$-difference analogue was proposed by Sakai as the connection preserving deformation of a linear $q$-difference system. Recently, we formulated the $q$-Garnier system in a framework of an extended affine Weyl group of type $A^{(1)}_{2n+1}\times A^{(1)}_ ... More
Presented by Prof. Takao SUZUKI on 19/06/2023 at 15:00
For each of the differential Painlevé equations, the Riemann-Hilbert correspondence maps its solution space onto an affine cubic surface. In recent work with Nalini Joshi, a q-analog was established for the q-Painlevé VI equation, where the associated algebraic surface is an affine Segre surface. In this talk, I will discuss this result and explain how the geometry of the Segre surface relates t ... More
Presented by Dr. Pieter ROFFELSEN on 19/06/2023 at 14:30
We consider two examples of certain recurrence relations, or nonlinear discrete dynamical systems, that appear in the theory of orthogonal polynomials, from the point of view of Sakai’s geometric theory of Painlevé equations. Of particular interest is the fact that both recurrences are regularized on the same family of rational algebraic surfaces, but at the same time their dynamics are non-equ ... More
Presented by Dr. Anton DZHAMAY on 19/06/2023 at 15:30
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