Towards a Modulo $p$ Langlands Correspondence for GL$_2$ (Memoirs of the American Mathematical Society)

Towards a Modulo $p$ Langlands Correspondence for GL$_2$ (Memoirs of the American Mathematical Society)

By: Christophe Breuil (author), Vytautas Paskunas (author)Paperback

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Description

The authors construct new families of smooth admissible $\overline{\mathbb{F}}_p$-representations of $\mathrm{GL}_2(F)$, where $F$ is a finite extension of $\mathbb{Q}_p$. When $F$ is unramified, these representations have the $\mathrm{GL}_2({\mathcal O}_F)$-socle predicted by the recent generalizations of Serre's modularity conjecture. The authors' motivation is a hypothetical mod $p$ Langlands correspondence.

Product Details

  • ISBN13: 9780821852279
  • Format: Paperback
  • Number Of Pages: 114
  • ID: 9780821852279
  • ISBN10: 0821852272

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