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Automorphic Forms and Applications

Edited by: Peter Sarnak Princeton University, Princeton, NJ
Freydoon Shahidi Purdue University, West Lafayette, IN
A co-publication of the AMS and IAS/Park City Mathematics Institute
Available Formats:
Hardcover ISBN: 978-0-8218-2873-1
Product Code: PCMS/12
List Price: $88.00 MAA Member Price:$79.20
AMS Member Price: $70.40 Electronic ISBN: 978-1-4704-3911-8 Product Code: PCMS/12.E List Price:$83.00
MAA Member Price: $74.70 AMS Member Price:$66.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $132.00 MAA Member Price:$118.80
AMS Member Price: $105.60 Click above image for expanded view Automorphic Forms and Applications Edited by: Peter Sarnak Princeton University, Princeton, NJ Freydoon Shahidi Purdue University, West Lafayette, IN A co-publication of the AMS and IAS/Park City Mathematics Institute Available Formats:  Hardcover ISBN: 978-0-8218-2873-1 Product Code: PCMS/12  List Price:$88.00 MAA Member Price: $79.20 AMS Member Price:$70.40
 Electronic ISBN: 978-1-4704-3911-8 Product Code: PCMS/12.E
 List Price: $83.00 MAA Member Price:$74.70 AMS Member Price: $66.40 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$132.00 MAA Member Price: $118.80 AMS Member Price:$105.60
• Book Details

IAS/Park City Mathematics Series
Volume: 122007; 427 pp
MSC: Primary 11; 22; 81;

The theory of automorphic forms has seen dramatic developments in recent years. In particular, important instances of Langlands functoriality have been established. This volume presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automorphic forms and their applications. It addresses some of the general aspects of automorphic forms, as well as certain recent advances in the field.

The book starts with the lectures of Borel on the basic theory of automorphic forms, which lay the foundation for the lectures by Cogdell and Shahidi on converse theorems and the Langlands-Shahidi method, as well as those by Clozel and Li on the Ramanujan conjectures and graphs. The analytic theory of GL(2)-forms and $L$-functions are the subject of Michel's lectures, while Terras covers arithmetic quantum chaos. The volume also includes a chapter by Vogan on isolated unitary representations, which is related to the lectures by Clozel.

This volume is recommended for independent study or an advanced topics course. It is suitable for graduate students and researchers interested in automorphic forms and number theory.

Readership

Graduate students and research mathematicians interested in automorphic forms and number theory.

• Table of Contents

• Chapters
• Introduction
• Automorphic Forms on Reductive Groups
• Spectral Theory of Automorphic Forms
• $L$-functions and Converse Theorems for $GL_n$
• Analytic Number Theory and Families of Automorphic $L$-functions
• Langlands-Shahidi Method
• Arithmetical Quantum Chaos
• Isolated Unitary Representations
• Ramanujan Graphs and Ramanujan Hypergraphs
• Additional Material

• Reviews

• The authors are some of the greatest masters in their fields, and they have made a real effort to open up the subject. ... The resulting combination of insight and (relative!) readability is what makes this book valuable.

MAA Reviews
• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 122007; 427 pp
MSC: Primary 11; 22; 81;

The theory of automorphic forms has seen dramatic developments in recent years. In particular, important instances of Langlands functoriality have been established. This volume presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automorphic forms and their applications. It addresses some of the general aspects of automorphic forms, as well as certain recent advances in the field.

The book starts with the lectures of Borel on the basic theory of automorphic forms, which lay the foundation for the lectures by Cogdell and Shahidi on converse theorems and the Langlands-Shahidi method, as well as those by Clozel and Li on the Ramanujan conjectures and graphs. The analytic theory of GL(2)-forms and $L$-functions are the subject of Michel's lectures, while Terras covers arithmetic quantum chaos. The volume also includes a chapter by Vogan on isolated unitary representations, which is related to the lectures by Clozel.

This volume is recommended for independent study or an advanced topics course. It is suitable for graduate students and researchers interested in automorphic forms and number theory.

Readership

Graduate students and research mathematicians interested in automorphic forms and number theory.

• Chapters
• Introduction
• Automorphic Forms on Reductive Groups
• Spectral Theory of Automorphic Forms
• $L$-functions and Converse Theorems for $GL_n$
• Analytic Number Theory and Families of Automorphic $L$-functions
• Langlands-Shahidi Method
• Arithmetical Quantum Chaos
• Isolated Unitary Representations
• Ramanujan Graphs and Ramanujan Hypergraphs
• The authors are some of the greatest masters in their fields, and they have made a real effort to open up the subject. ... The resulting combination of insight and (relative!) readability is what makes this book valuable.

MAA Reviews
Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
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