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

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Paperback 114 Pages / Published: 30/03/2012
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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.

Publisher: American Mathematical Society
ISBN: 9780821852279
Number of pages: 114
Weight: 200 g
Dimensions: 254 x 178 mm

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