http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
lectures from the 2022 Arizona Winter School
Arizona Winter School 2022 : Tucson, Ariz.)
viii, 187 pages : illustrations ; 26 cm.
The Langlands program has been a very active and central field in mathematics ever since its conception over fifty 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 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.
Automorphic forms on unitary groups / E.E. Eischen -- Automorphic forms and the Theta correspondence / Wee Teck Gan -- Modular forms on exceptional groups / Aaron Pollack -- Rigidity method for automorphic forms over function fields / Zhiwei Yun.
Ellen Elizabeth Eischen, Wee Teck Gan, Aaron Pollack, Zhiwei Yun, Hang Xue, editor.
Mathematical surveys and monographs ; no. 279