Towards a Modulo $p$ Langlands Correspondence for GL$_2$

Released on by Christophe Breuil
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  • Towards a Modulo $p$ Langlands Correspondence for GL$_2$ Book Detail

  • Author : Christophe Breuil
  • Release Date : 2012-02-22
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 127
  • ISBN 13 : 0821852272
  • File Size : 49,49 MB
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Towards a Modulo $p$ Langlands Correspondence for GL$_2$ by Christophe Breuil PDF Summary

Book 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.

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