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 |
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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Book DetailsMathematical Surveys and MonographsVolume: 279; 2024; 187 ppMSC: 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.
ReadershipGraduate students and researchers interested in automorphic forms on reductive groups other than \(\mathrm{GL}_2\).
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Table of Contents
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Chapters
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Automorphic forms on unitary groups
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Automorphic forms and the theta correspondence
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Modular forms on exceptional groups
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Rigidity method for automorphic forms over function fields
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Additional Material
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
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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.
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