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Automorphic Forms Beyond $\mathrm{GL}_2$: Lectures from the 2022 Arizona Winter School
 
Ellen Elizabeth Eischen University of Oregon, Eugene, OR
Wee Teck Gan National University of Singapore, Republic of Singapore
Aaron Pollack University of California San Diego, La Jolla, CA
Zhiwei Yun Massachusetts Institute of Technology, Cambridge, MA
Edited by: Hang Xue University of Arizona, Tuscon, AZ
Softcover ISBN:  978-1-4704-7492-8
Product Code:  SURV/279
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-7671-7
Product Code:  SURV/279.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-7492-8
eBook: ISBN:  978-1-4704-7671-7
Product Code:  SURV/279.B
List Price: $260.00 $197.50
MAA Member Price: $234.00 $177.75
AMS Member Price: $208.00 $158.00
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Automorphic Forms Beyond $\mathrm{GL}_2$: Lectures from the 2022 Arizona Winter School
Ellen Elizabeth Eischen University of Oregon, Eugene, OR
Wee Teck Gan National University of Singapore, Republic of Singapore
Aaron Pollack University of California San Diego, La Jolla, CA
Zhiwei Yun Massachusetts Institute of Technology, Cambridge, MA
Edited by: Hang Xue University of Arizona, Tuscon, AZ
Softcover ISBN:  978-1-4704-7492-8
Product Code:  SURV/279
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
eBook ISBN:  978-1-4704-7671-7
Product Code:  SURV/279.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-7492-8
eBook ISBN:  978-1-4704-7671-7
Product Code:  SURV/279.B
List Price: $260.00 $197.50
MAA Member Price: $234.00 $177.75
AMS Member Price: $208.00 $158.00
  • Book Details
     
     
    Mathematical Surveys and Monographs
    Volume: 2792024; 187 pp
    MSC: Primary 11; 14; 20

    The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. It connects number theory, representation theory and arithmetic geometry, and other fields in a profound way. There are nevertheless very few expository accounts beyond the GL(2) case. This book features expository accounts of several topics on automorphic forms on higher rank groups, including rationality questions on unitary group, theta lifts and their applications to Arthur's conjectures, quaternionic modular forms, and automorphic forms over functions fields and their applications to inverse Galois problems. It is based on the lecture notes prepared for the twenty-fifth Arizona Winter School on “Automorphic Forms beyond GL(2)”, held March 5–9, 2022, at the University of Arizona in Tucson. The speakers were Ellen Eischen, Wee Teck Gan, Aaron Pollack, and Zhiwei Yun.

    The exposition of the book is in a style accessible to students entering the field. Advanced graduate students as well as researchers will find this a valuable introduction to various important and very active research areas.

    Readership

    Graduate students and researchers interested in automorphic forms on reductive groups other than \(\mathrm{GL}_2\).

  • Table of Contents
     
     
    • Chapters
    • Automorphic forms on unitary groups
    • Automorphic forms and the theta correspondence
    • Modular forms on exceptional groups
    • Rigidity method for automorphic forms over function fields
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2792024; 187 pp
MSC: Primary 11; 14; 20

The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. It connects number theory, representation theory and arithmetic geometry, and other fields in a profound way. There are nevertheless very few expository accounts beyond the GL(2) case. This book features expository accounts of several topics on automorphic forms on higher rank groups, including rationality questions on unitary group, theta lifts and their applications to Arthur's conjectures, quaternionic modular forms, and automorphic forms over functions fields and their applications to inverse Galois problems. It is based on the lecture notes prepared for the twenty-fifth Arizona Winter School on “Automorphic Forms beyond GL(2)”, held March 5–9, 2022, at the University of Arizona in Tucson. The speakers were Ellen Eischen, Wee Teck Gan, Aaron Pollack, and Zhiwei Yun.

The exposition of the book is in a style accessible to students entering the field. Advanced graduate students as well as researchers will find this a valuable introduction to various important and very active research areas.

Readership

Graduate students and researchers interested in automorphic forms on reductive groups other than \(\mathrm{GL}_2\).

  • Chapters
  • Automorphic forms on unitary groups
  • Automorphic forms and the theta correspondence
  • Modular forms on exceptional groups
  • Rigidity method for automorphic forms over function fields
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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