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Deformation theory and local-global compatibility of langlands correspondences / Martin Luu.

By: Luu, Martin.
Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v 238, no 1123.Publisher: Providence : American Mathematical Society, 2015Description: vii, 101 p. : illustrations ; 26 cm.ISBN: 9781470414221 (alk. paper).Subject(s): Local fields (Algebra) | Representations of groups | Automorphic forms | Galois theoryDDC classification: 510
Contents:
1. Introduction -- 2. Preliminaries -- 3. Local-global compatibility for Hilbert Modular forms -- 4. Local-global compatibility results via crystalline periods -- 5. Local semi-simplifications: the case of general linear groups -- 6. Local semi-simplifications: the case of symplectic groups -- 7. Congruences -- 8. Local monodromy operators: the case of general linear groups -- 9. Local monodromy operators: the case of symplectic groups -- Bibliography -- Index.
Summary: The deformation theory of automorphic representations is used to study local properties of Galois representations associated to automorphic representations of general linear groups and symplectic groups. In some cases this allows to identify the local Galois representations with representations predicted by a local Langlands correspondence.
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Item type Current location Call number Status Date due Barcode Item holds
Books Books ISI Library, Kolkata
 
510 Am512 (Browse shelf) Available 136725
Total holds: 0

Includes bibliographical references and index.

1. Introduction --
2. Preliminaries --
3. Local-global compatibility for Hilbert Modular forms --
4. Local-global compatibility results via crystalline periods --
5. Local semi-simplifications: the case of general linear groups --
6. Local semi-simplifications: the case of symplectic groups --
7. Congruences --
8. Local monodromy operators: the case of general linear groups --
9. Local monodromy operators: the case of symplectic groups --
Bibliography --
Index.

The deformation theory of automorphic representations is used to study local properties of Galois representations associated to automorphic representations of general linear groups and symplectic groups. In some cases this allows to identify the local Galois representations with representations predicted by a local Langlands correspondence.

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