離散数理モデリングセミナー

過去の記録 ~01/29次回の予定今後の予定 01/30~

担当者 時弘哲治, ウィロックス ラルフ

2016年11月28日(月)

17:15-18:30   数理科学研究科棟(駒場) 056号室
Alfred Ramani 氏 (IMNC, Universite de Paris 7 et 11)
Who cares about integrability ? (ENGLISH)
[ 講演概要 ]
I will start my talk with an introduction to integrability of continuous systems. Why is it important? Is it possible to give a definition of integrability which will satisfy everybody? (Short answer: No). I will then present the most salient discoveries of integrable systems, from Newton to Toda. Next I will address the question of discrete integrability. This will lead naturally to the question of discretisation (of continuous systems) and its importance in modelling. I will deal with the construction of integrable discretisations of continuous integrable systems and introduce the singularity confinement discrete integrability criterion. The final part of my talk will be devoted to discrete Painlevé equations. Due to obvious time constraints I will concentrate on one special class of these equations, namely those associated to the E8 affine Weyl group. I will present a succinct summary of our recent results as well as indications for future investigations.