Local Fourier transform and blowing up

Date
2014/11/21 Fri 16:00 - 18:30
Room
RIMS402号室
Speaker
Kazuki Hiroe
Affiliation
Josai University
Abstract

We study linear ordinary differential equations with ramified irregular singularies with the help of the theory of singularities of plane curve germs.

Especially we shall see analogies between

- Komatsu-Malgrange irregularities of ODEs and intersection numbers and Milnor numbers of curves,

- Local Fourier transform of ODEs and blow up of curves,

- Stokes structures of ODEs and iterated torus knots of curves.