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 Identifiers
Publisher
American Mathematical Society
ISBN-13
9780821852279
eBay Product ID (ePID)
114480273
Product Key Features
Author
Christophe Breuil, Vytautas Paskunas
Publication Name
Towards a Modulo $P$ Langlands Correspondence for Gl$_2$
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2012
Type
Textbook
Number of Pages
114 Pages
Additional Product Features
Title_Author
Vytautas Paskunas, Christophe Breuil
Series Title
Memoirs of the American Mathematical Society
Country/Region of Manufacture
United States
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