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Deformation Theory and Local-Global Compatibility of Langlands Correspondences
 
Martin Luu Stanford University, CA
Deformation Theory and Local-Global Compatibility of Langlands Correspondences
eBook ISBN:  978-1-4704-2609-5
Product Code:  MEMO/238/1123.E
List Price: $80.00
MAA Member Price: $72.00
AMS Member Price: $48.00
Deformation Theory and Local-Global Compatibility of Langlands Correspondences
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Deformation Theory and Local-Global Compatibility of Langlands Correspondences
Martin Luu Stanford University, CA
eBook ISBN:  978-1-4704-2609-5
Product Code:  MEMO/238/1123.E
List Price: $80.00
MAA Member Price: $72.00
AMS Member Price: $48.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2382015; 101 pp
    MSC: Primary 11;

    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.

  • Table of Contents
     
     
    • Chapters
    • Preface
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2382015; 101 pp
MSC: Primary 11;

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.

  • Chapters
  • Preface
  • 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.