Posted in

Speaker:

Pierre Cartier
Affiliation:

IHES/MPIM
Date:

Wed, 2016-02-17 10:30 - 12:00
Location:

MPIM Lecture Hall
Parent event:

Higher Differential Geometry Seminar The standard Picart-Vessiot theory for differential

equations works well in the so-called Fuchs case , because Schlesinger

theorem connects algebra and topology . It does not work for such a

simple equation as dy = y.dx . We shall explain how we can solve this

difficulty by replacing a Galois group by a Galois groupoid , thus permitting

to develop a non-linear theory as Malgrange

and Umemura have done.

© MPI f. Mathematik, Bonn | Impressum & Datenschutz |