Seminar des SFB/TRR 326 GAUS On Local Galois Deformation Rings

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  • Friday, 20. December 2024, 13:30 - 14:30
  • INF 205, SR A
    • Dr. Julian Quast (Universität Duisburg-Essen)
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    INF 205, SR A

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In joint work with Vytautas Paškūnas, we show that the universal framed deformation ring of an arbitrary mod p representation of the absolute Galois group of a p-adic local field valued in a possibly disconnected reductive group G is flat, local complete intersection and of the expected dimension. In particular, any such mod p representation has a lift to characteristic 0. The work extends results of Böckle, Iyengar and Paškūnas in the case G=GLn. We give an overview of the proof of this main result.

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