離散数理モデリングセミナー

過去の記録 ~02/06次回の予定今後の予定 02/07~

担当者 時弘哲治, ウィロックス ラルフ

2022年08月18日(木)

15:00-16:00   数理科学研究科棟(駒場) 117号室
Anton Dzhamay 氏 (University of Northern Colorado)
Different Hamiltonians for Painlevé Equations and their identification using geometry of the space of
initial conditions (English)
[ 講演概要 ]
It is well-known that differential Painlevé equations can be written in a Hamiltonian form. However, a coordinate form of such representation is far from unique – there are many very different Hamiltonians that result in the same differential Painlevé equation. In this paper we describe a systematic procedure of finding
changes of coordinates transforming different Hamiltonian systems into some canonical form.
Our approach is based on the Okamoto-Sakai geometric approach to Painlevé equations. We explain this approach using the differential P-IV equation as an example, but the procedure is general and can be easily adapted to other Painlevé equations as well. (Joint work with Galina Filipuk, Adam Ligeza and Alexander Stokes.)