関西可積分系セミナー (2000年6月28日)
- 日時
- 2000年6月28日（水）15時-16時30分
- 場所
- 大阪大学基礎工学研究科数理科学ディスプレイ室(J617)
Leonid Faybusovich (ノートルダム大学数学教室)
Biorthogonal polynomials, Schur flows and quadratic Poisson structures
We show how recurrent relations for biorthogonal polynomials naturally lead to explicit formulas for solutions of Shur-like flows. We further show that quadratic Poisson structure decouples when expressed in terms of Schur parameters. It leads to a natural way for describing Lax representations and integrals for flows under consideration. Relations with the work of Suris, Zhedanov and Mukaihira-Nakamura are described.