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- W2301003822 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 eingefuhrte 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 konnen. So erhalten wir die zweite maximal unipotenten Familie. Durch den geometrischen Ursprung konnen wir mit Hilfe eines Satzes von Barnet-Lamb, Gee, Geraghty und Taylor zeigen, dass diese potentiell automorph sind." @default.
- W2301003822 created "2016-06-24" @default.
- W2301003822 creator A5077878454 @default.
- W2301003822 date "2012-01-01" @default.
- W2301003822 modified "2023-09-27" @default.
- W2301003822 title "Galois representations of orthogonal rigid local systems" @default.
- W2301003822 hasPublicationYear "2012" @default.
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