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9781470475826 Academic Inspection Copy

Moduli of Fontaine-Laffaille Representations and a Mod-$p$ Local-GlobalCompatibility Result

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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.
Daniel Le, Purdue University, West Lafayette, Indiana. Bao V. Le Hung, Northwestern University, Evanston, Illinois. Stefano Morra, Universite Sorbonne Paris Nord, Villetaneuse, France. Chol Park, Ulsan National Institute of Science and Technology, Republic of Korea. Zicheng Qian, Morningside Center of Mathematics, Beijing, People's Republic of China.
1. Introduction 2. Preliminaries 3. The geometry of $\widetilde {\mathcal {F}\mathcal {L}}_\mathcal {J}$ 4. The invariant functions on $\widetilde {\mathcal {F}\mathcal {L}}_{\mathcal {J}}$ 5. Combinatorics of $\Lambda $-lifts 6. Construction of invariant functions 7. Invariant functions and constructible $\Lambda $-lifts 8. $\widetilde {\mathcal {F}\mathcal {L}}_\mathcal {J}$, $\widetilde {Fl}_\mathcal {J}$ and Serre weights 9. Canonical lifts of invariant functions 10. Local-global compatibility A. Figures
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