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9781470478360 Academic Inspection Copy

Conjectures and Results on Modular Representations of $\mathrm{GL}_n(K)$ for a $p$-Adic Field $K$

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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Christophe Breuil, Faculte d'Orsay, Universite Paris-Saclay, France Florian Herzig, University of Toronto, Ontario, Canada. Yongquan Hu, Morningside Center of Mathematics, No. 55, Beijing, People's Republic of China. Stefano Morra, Laboratoire d'Analyse, Geometrie et Applications, Universite Sorbonne Paris Nord, Villetaneuse, France. Benjamin Schraen, Faculte d'Orsay, Universite Paris-Saclay, France
Chapters; 1. Introduction; 2. Local-global compatibility conjectures; 3. The case of \texorpdfstring{GL_2(\mathbb {Q}_{p^f})}GL_2(Q_{p^f})
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