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Title data
Schulte, Michael:
Galois representations of orthogonal rigid local systems.
Bayreuth
,
2012
(
Doctoral thesis,
2012
, University of Bayreuth, Faculty of Mathematics, Physics and Computer Sciences)
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Abstract
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.
Abstract in another language
Durch die von Katz eingeführte mittlere Faltung erzeugen wir glatte Garben auf der affinen Geraden ohne zwei Punkte. Diese korrespondieren zu stetigen Darstellungen der etalen Fundamentalgruppe, die zu kompatiblen Systemen von Galoisdarstellungen spezialisiert werden können. So erhalten wir die zweite maximal unipotenten Familie. Durch den geometrischen Ursprung können wir mit Hilfe eines Satzes von Barnet-Lamb, Gee, Geraghty und Taylor zeigen, dass diese potentiell automorph sind.
Further data
| Item Type: | Doctoral thesis (No information) |
|---|---|
| Additional notes (visible to public): | msc: 11A67; msc: 12F12 |
| Keywords: | Langlands-Vermutung , Galois-Darstellung; Automorphie , Dettweiler , Katz, Taylor , Absolute Galoisgruppe; Automorphy , Dettweiler , Katz , Taylor , absolute Galois group |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties Faculties > Faculty of Mathematics, Physics und Computer Science |
| Language: | English |
| Originates at UBT: | Yes |
| URN: | urn:nbn:de:bvb:703-opus4-8485 |
| Date Deposited: | 25 Apr 2014 06:26 |
| Last Modified: | 25 Apr 2014 06:26 |
| URI: | https://epub.uni-bayreuth.de/id/eprint/223 |
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