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In mathematics, a deformation ring is a ring that controls liftings of a representation of a Galois group from a finite field to a local field. In particular for any such lifting problem there is often a universal deformation ring that classifies all such liftings, and whose spectrum is the universal deformation space. A key step in Wiles's proof of the modularity theorem was to study the relation between universal deformation rings and Hecke algebras.

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  • Deformation ring (en)
  • Deformationsring (sv)
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  • In mathematics, a deformation ring is a ring that controls liftings of a representation of a Galois group from a finite field to a local field. In particular for any such lifting problem there is often a universal deformation ring that classifies all such liftings, and whose spectrum is the universal deformation space. A key step in Wiles's proof of the modularity theorem was to study the relation between universal deformation rings and Hecke algebras. (en)
  • Inom matematiken är en deformationsring en ring som kontrollerar lyft av en representation av en Galoisgrupp från en ändlig kropp till en . Speciellt finns det ofta för sådana lyftproblem en universal deformationsring som klassificerar alla sådana ringar och vars spektrum är det universala deformationsrummet. En viktig del av Wiles bevis av Taniyama–Shimuras sats var att studera relationen mellan universala deformationsringar och . (sv)
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  • In mathematics, a deformation ring is a ring that controls liftings of a representation of a Galois group from a finite field to a local field. In particular for any such lifting problem there is often a universal deformation ring that classifies all such liftings, and whose spectrum is the universal deformation space. A key step in Wiles's proof of the modularity theorem was to study the relation between universal deformation rings and Hecke algebras. (en)
  • Inom matematiken är en deformationsring en ring som kontrollerar lyft av en representation av en Galoisgrupp från en ändlig kropp till en . Speciellt finns det ofta för sådana lyftproblem en universal deformationsring som klassificerar alla sådana ringar och vars spektrum är det universala deformationsrummet. En viktig del av Wiles bevis av Taniyama–Shimuras sats var att studera relationen mellan universala deformationsringar och . (sv)
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