Discrete mathematical modelling seminar

Seminar information archive ~02/01Next seminarFuture seminars 02/02~

Organizer(s) Tetsuji Tokihiro, Ralph Willox

2022/11/30

15:00-16:30   Room #128 (Graduate School of Math. Sci. Bldg.)
Mikhail Bershtein (Skoltech・HSE / IPMU)
Folding transformations for q-Painleve equations (English)
[ Abstract ]
Folding transformation of the Painleve equations is an algebraic (of degree greater than 1) transformation between solutions of different equations. In 2005 Tsuda, Okamoto and Sakai classified folding transformations of differential Painleve equations. These transformations are in correspondence with automorphisms of affine Dynkin diagrams. We give a complete classification of folding transformations of the q-difference Painleve equations, these transformations are in correspondence with certain subdiagrams of the affine Dynkin diagrams (possibly with automorphism). The method is based on Sakai's approach to Painleve equations through rational surfaces.
Based on joint work with A. Shchechkin [arXiv:2110.15320]