| Speaker: | Toshi Oshima (Graduate School of Mathematical Sciences, University of Tokyo) |
|---|---|
| Title: |
Fractional calculus of Weyl algebra and its application to ordinary differential equations on the Riemann sphere |
| Date (JST): | Tue, Sep 08, 2009, 13:15 - 14:45 |
| Place: | Seminar Room at IPMU Prefab. B |
| Related File: | 146.pdf |
| Abstract: |
We construct an action of a Kac-Moody Weyl group on the totality of Fuchsian differential equations and give a universal model of the equations with a given spectral type. Moreover we obtain explicit connection coefficients for the rigid Fuchsian differential equations and give a unified interpretation of confluence, contiguity relation for ordinary differential equations together with its generalization to partial differential equations. The integral representation and series expansion of their solutions are also within our interpretation. |
| Contact: | Saito |
