Painleve equations and weight systems


Hayato Chiba

17:00:00 - 18:30:00

101 , Mathematics Research Center Building (ori. New Math. Bldg.)

A weight (a tuple of integers) is one of the invariants of the Painlev\'{e} equation determined by the Newton diagram of the equation. The Painlev\'{e} equations are systematically studied by means of the weighted projective spaces associated with the weights. Furthermore, it will be shown that the weights for the Painlev\'{e} equations are closely related to Saito's theory of weight systems.

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