| Speaker: | Hayato Chiba (Kyushu university) |
|---|---|
| Title: | Painleve equations and weight system |
| Date (JST): | Mon, Apr 20, 2015, 10:00 - 17:30 |
| Place: | Balcony A |
| Abstract: |
A weight (a tuple of integers) is one of the invariants of the Painlev\'{e} equation determined by the Newton diagram of the equation. In this talk, several topics about the Painlev\'{e} equations and weights will be introduced. In the first lecture, a brief review of the Painlev\'{e} equations and the analysis of the Painlev\'{e} equations by means of the weighted projective spaces associated with the weights will be given. In the second lecture, it will be shown that the weights for the Painlev\'{e} equations are closely related to Saito's theory of weight systems. In the third lecture, it will be shown that the hierarchy of the Painlev\'{e} equations is obtained from a certain Lie-Poisson structure. The weights are recovered through the Darboux coordinates of the Poisson structure. |
| Remarks: | Break time; 12:00-13:30, 15:00-15:30 |
