Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel
Email des responsables :
cathy.swaenepoel@imj-prg.fr
Salle :
Adresse :
Description
http://www.imj-prg.fr/tn/STN/stnj.html
Orateur(s)
S. Reiter - ,
Titre
Katz' Existence Algorithm and its Application to the Inverse Galois Problem
Date
05/03/2001
Horaire
14:00 à 16:00
Diffusion
Résume
This talk will be about a joint work with M. Dettweiler(Heidelberg). We present a new and elementary approach to Katz'Existence Algorithm for rigid local systems. We find a purelyalgebraic version of the middle convolution functor used by Katz.This functor commutes with the braiding group action on tuples ofmatrices. This yields a new approach in inverse Galois theory forrealizing subgroups of linear groups regularly as Galois groups overQ.