Towards a Modulo p Langlands Correspondence for GL2 (Memoirs of the American Mathematical Society)
Towards a Modulo p Langlands Correspondence for GL2 (Memoirs of the American Mathematical Society) by Chistophe Breuil
English | 2012 | ISBN: 0821852272 | 114 Pages | PDF | 1023.41 KB
English | 2012 | ISBN: 0821852272 | 114 Pages | PDF | 1023.41 KB
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.