保型表現入門(テキスト)
An Introduction to Automorphic Representations
With a view toward trace formulae
Graduate Texts in Mathematics
Getz, Jayce R.
Hahn, Heekyoung
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The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program. It is designed for use as a primary text for either a semester or a year-long course, for the independent study of advanced topics, or as a reference for researchers. The reader is taken from the beginnings of the subject to the forefront of contemporary research. The journey provides an accessible gateway to one of the most fundamental areas of modern mathematics, with deep connections to arithmetic geometry, representation theory, harmonic analysis, and mathematical physics.