發表時間:2021-01-11 閱讀次數:425次
報告題目: Isospectral flows related to Frobenius-Stickelberger-Thiele polynomials
報 告 人:常向科
報告人所在單位:中國科學院數學與系統科學研究院
報告日期:2021-01-11 星期一
報告時間:13:30--14:30
報告地點:騰訊會議 ID: 875 673 248
  
報告摘要:

We introduce two isospectral deformations related to the Frobenius-Stickelberger-Thiele (FST) polynomials. On one hand, for a specific choice of the deformation of the spectral measure, one is led to an integrable lattice (FST lattice), which is indeed an isospectral flow connected with a generalized eigenvalue problem. On the other hand, the spectral problem pertainning to the modified Camassa-Holm (mCH) peakon lattice can be interpreted in terms of the FST polynomials together with the associated FST polynomials, resulting in a map from the mCH peakon lattice to a negative flow of the finite FST lattice.

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