{"id":{"repo_id":"bayreuth","oai_identifier":"oai:epub.uni-bayreuth.de:223"},"canonical_url":"https://search.dev.ndltd.org/etd/bayreuth/oai:epub.uni-bayreuth.de:223","repository":{"repo_id":"bayreuth","name":"Universität Bayreuth","base_url":"https://epub.uni-bayreuth.de/cgi/oai2"},"display":{"title":"Galois representations of orthogonal rigid local systems","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_html":"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_has_math":false,"creators":["Schulte, Michael"],"institution":"Universität Bayreuth","degree_name":null,"degree_level":"thesis.doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":["Dettweiler, Michael"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2012,"date_issued":"2012-07-10","date_published":"2012-07-10","updated_at":"2026-07-27T18:49:06Z","subjects":[],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://epub.uni-bayreuth.de/id/eprint/223/","outbound_label":"Repository record","outbound_source":"source_url"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Dettweiler, Michael"]},{"key":"dc:creator","label":"Author","values":["Schulte, Michael"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:publisher","label":"Institution","values":["Universität Bayreuth"]},{"key":"dc:type","label":"Dc Type","values":["doctoralThesis"]},{"key":"thesis:degree_level","label":"Degree Level","values":["thesis.doctoral"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Universität Bayreuth"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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.","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."]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Galois representations of orthogonal rigid local systems"]}]}],"canonical_facts":{"dc:contributor":["Dettweiler, Michael"],"dc:creator":["Schulte, Michael"],"dc:description.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.","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."],"dc:format.medium":["application/pdf"],"dc:publisher":["Universität Bayreuth"],"dc:title":["Galois representations of orthogonal rigid local systems"],"dc:type":["doctoralThesis"],"thesis:degree_level":["thesis.doctoral"],"thesis:institution_name":["Universität Bayreuth"]},"updated_at":"2026-07-27T18:49:06Z"}