Automorphic forms beyond GL2 lectures from the 2022 Arizona Winter School

Publisher’s description: 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...

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Körperschaft: Arizona Winter School (VerfasserIn)
Weitere Verfasser: Eischen, Ellen E. (VerfasserIn), Gan, Wee Teck (VerfasserIn), Pollack, Aaron (VerfasserIn), Yun, Zhiwei (VerfasserIn), Xue, Hang (HerausgeberIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Providence, Rhode Island American Mathematical Society 2024
Schriftenreihe:Mathematical surveys and monographs volume 279
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Online Zugang:zbMATH
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Zusammenfassung:Publisher’s description: 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 GL2 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 GL2”, 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.
Beschreibung:Literaturverzeichnis: Seite 185-187
Includes bibliographical references
Beschreibung:viii, 187 Seiten
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26 cm
ISBN:9781470474928
978-1-4704-7492-8