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Arthur Packets for $p$-adic Groups by Way of Microlocal Vanishing Cycles of Perverse Sheaves, with Examples
 
Clifton Cunningham University of Calgary, Calgary, Canada
Andrew Fiori University of Lethbridge, Lethbridge, Canada
Ahmed Moussaoui Université Versailles Saint Quentin, Versailles, France
James Mracek University of Toronto, Toronto, Canada
Bin Xu Tsinghua University, Tsinghua, China
Arthur Packets for $p$-adic Groups by Way of Microlocal Vanishing Cycles of Perverse Sheaves, with Examples
Softcover ISBN:  978-1-4704-5117-2
Product Code:  MEMO/276/1353
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7019-7
Product Code:  MEMO/276/1353.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-5117-2
eBook: ISBN:  978-1-4704-7019-7
Product Code:  MEMO/276/1353.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Arthur Packets for $p$-adic Groups by Way of Microlocal Vanishing Cycles of Perverse Sheaves, with Examples
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Arthur Packets for $p$-adic Groups by Way of Microlocal Vanishing Cycles of Perverse Sheaves, with Examples
Clifton Cunningham University of Calgary, Calgary, Canada
Andrew Fiori University of Lethbridge, Lethbridge, Canada
Ahmed Moussaoui Université Versailles Saint Quentin, Versailles, France
James Mracek University of Toronto, Toronto, Canada
Bin Xu Tsinghua University, Tsinghua, China
Softcover ISBN:  978-1-4704-5117-2
Product Code:  MEMO/276/1353
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7019-7
Product Code:  MEMO/276/1353.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-5117-2
eBook ISBN:  978-1-4704-7019-7
Product Code:  MEMO/276/1353.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2762022; 209 pp
    MSC: Primary 11; 22; 35; 32

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • Acknowledgments
    • 1. Introduction
    • 1. Arthur packets and microlocal vanishing cycles
    • 2. Overview
    • 3. Arthur packets and pure rational forms
    • 4. Equivariant perverse sheaves on parameter varieties
    • 5. Reduction to unramified hyperbolic parameters
    • 6. Arthur parameters and the conormal bundle
    • 7. Microlocal vanishing cycles of perverse sheaves
    • 8. Arthur packets and ABV-packets
    • 2. Examples
    • 9. Overview
    • 10. Template for the examples
    • 11. SL(2) 4-packet of quadratic unipotent representations
    • 12. SO(3) unipotent representations, regular parameter
    • 13. PGL(4) shallow representations
    • 14. SO(5) unipotent representations, regular parameter
    • 15. SO(5) unipotent representations, singular parameter
    • 16. SO(7) unipotent representations, singular parameter
  • Additional Material
     
     
  • 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: 2762022; 209 pp
MSC: Primary 11; 22; 35; 32

View the abstract.

  • Chapters
  • Acknowledgments
  • 1. Introduction
  • 1. Arthur packets and microlocal vanishing cycles
  • 2. Overview
  • 3. Arthur packets and pure rational forms
  • 4. Equivariant perverse sheaves on parameter varieties
  • 5. Reduction to unramified hyperbolic parameters
  • 6. Arthur parameters and the conormal bundle
  • 7. Microlocal vanishing cycles of perverse sheaves
  • 8. Arthur packets and ABV-packets
  • 2. Examples
  • 9. Overview
  • 10. Template for the examples
  • 11. SL(2) 4-packet of quadratic unipotent representations
  • 12. SO(3) unipotent representations, regular parameter
  • 13. PGL(4) shallow representations
  • 14. SO(5) unipotent representations, regular parameter
  • 15. SO(5) unipotent representations, singular parameter
  • 16. SO(7) unipotent representations, singular parameter
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.