Corpus ID: 115156613

Explicit non-abelian Lubin-Tate theory for GL(2)

  title={Explicit non-abelian Lubin-Tate theory for GL(2)},
  author={Jared Weinstein},
  • Jared Weinstein
  • Published 2009
  • Mathematics
  • Let $F$ be a non-Archimedean local field with residue field $k$ of odd characteristic, and let $B/F$ be the division algebra of rank 4. We explicitly construct a stable curve $\mathfrak{X}$ over the algebraic closure of $k$ admitting an action of $GL_2(F)\times B^\times \times W_F$ which realizes the Jacquet-Langlands correspondence and the local Langlands correspondence in its cohomology. 

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