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On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2
 
Werner Hoffmann :  Universität Bielefeld, Bielefeld, Germany
Satoshi Wakatsuki :  Institute of Science and Engineering, Kanazawa Univeristy, Kanazawa, Japan
On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2
eBook ISBN:  978-1-4704-4825-7
Product Code:  MEMO/255/1224.E
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $46.80
Add to cart
On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2
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On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2
Werner Hoffmann :  Universität Bielefeld, Bielefeld, Germany
Satoshi Wakatsuki :  Institute of Science and Engineering, Kanazawa Univeristy, Kanazawa, Japan
eBook ISBN:  978-1-4704-4825-7
Product Code:  MEMO/255/1224.E
List Price: $78.00
MAA Member Price: $70.20
AMS Member Price: $46.80
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 255; 2018; 88 pp
    MSC: Primary 11; Secondary 22

    The authors study the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and the split symplectic group of rank \(2\) over any algebraic number field. In particular, they express the global coefficients of unipotent orbital integrals in terms of Dedekind zeta functions, Hecke \(L\)-functions, and the Shintani zeta function for the space of binary quadratic forms.
  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Preliminaries
    • 3. A formula of Labesse and Langlands
    • 4. Shintani zeta function for the space of binary quadratic forms
    • 5. Structure of $\mathop {\mathrm {GSp(2)}}$
    • 6. The geometric side of the trace formula for $\mathop {\mathrm {GSp(2)}}$
    • 7. The geometric side of the trace formula for $\mathop {\mathrm {Sp(2)}}$
    • A. The group $\mathop {\mathrm {GL(3)}}$
    • B. The group $\mathop {\mathrm {SL(3)}}$
  • 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
Memoirs of the American Mathematical Society
Volume: 255; 2018; 88 pp
MSC: Primary 11; Secondary 22

The authors study the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and the split symplectic group of rank \(2\) over any algebraic number field. In particular, they express the global coefficients of unipotent orbital integrals in terms of Dedekind zeta functions, Hecke \(L\)-functions, and the Shintani zeta function for the space of binary quadratic forms.
  • Chapters
  • 1. Introduction
  • 2. Preliminaries
  • 3. A formula of Labesse and Langlands
  • 4. Shintani zeta function for the space of binary quadratic forms
  • 5. Structure of $\mathop {\mathrm {GSp(2)}}$
  • 6. The geometric side of the trace formula for $\mathop {\mathrm {GSp(2)}}$
  • 7. The geometric side of the trace formula for $\mathop {\mathrm {Sp(2)}}$
  • A. The group $\mathop {\mathrm {GL(3)}}$
  • B. The group $\mathop {\mathrm {SL(3)}}$
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
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