Galois representations of orthogonal rigid local systems

We use the middle convolution introduced by Katz to construct a families of lisse sheaves on the affine line without two points. These correspond to continuous representations of the etale fundamental group, which can be specialized to compatible systems of Galois representations. This leads to the second maximally unipotent family. Because of the geometric origin, we can show using a theorem of Barnet-Lamb, Gee, Geraghty and Taylor that they are potentially automorphic.

Level thesis:degree_level

thesis.doctoral

Grantor dc:publisher

Universität Bayreuth

Year

2012

Author dc:creator

• Schulte, Michael

Contributors dc:contributor

• Dettweiler, Michael

Repository record source_url

https://epub.uni-bayreuth.de/id/eprint/223/

OAI identifier oai:identifier

oai:epub.uni-bayreuth.de:223