Local Fourier transform and blowing up

開催日時
2014/11/21 Fri 16:00 - 18:30
場所
RIMS402号室
講演者
Kazuki Hiroe
講演者所属
Josai University
概要

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.