Automorphic Forms Beyond $\mathrm {GL}_2$ by Hang Xue
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.-
Quantum Field Theory
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The Cremona Group and Its Subgroups
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Fokker-Planck-Kolmogorov Equations
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Grid Homology for Knots and Links
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The Classification of the Finite Simple Groups, Number 6
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The Classification of the Finite Simple Groups, Number 7
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Braid and Knot Theory in Dimension Four
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Residuated Structures in Algebra and Logic
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Attractors for Degenerate Parabolic Type Equations
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Advanced Analytic Number Theory: L-functions
- Geometric Function Theory in the Unit Ball of $\mathbb{C}^n$
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Cohen-Macaulay Representations
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The Convenient Setting of Global Analysis
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Noncommutative Multivariable Operator Theory
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Singular Time-Homogeneous Ito Equations and PDEs
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Locally Solid Riesz Spaces with Applications to Economics
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Control and Nonlinearity
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Mixed Motives
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Ergodic Theory Via Joinings
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Ricci Solitons in Dimensions $4$ and Higher
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Vertex Algebras and Algebraic Curves
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Surgery on Compact Manifolds
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Univalent Functions in Quantum Probability Theory
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Perfectoid Spaces
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The Ricci Flow: Techniques and Applications
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Parabolic Geometries I
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Trees of Hyperbolic Spaces
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Foundations of Arithmetic Differential Geometry
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Algebraic Geometry for Scientists and Engineers
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Operators, Functions, and Systems
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Mirror Symmetry and Algebraic Geometry
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Geometric Analysis on Symmetric Spaces
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Self-Similar Groups
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Knotted Surfaces and Their Diagrams
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Alice and Bob Meet Banach
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Weak Convergence of Measures
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Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups
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Iwasawa Theory and Its Perspective, Volume 1
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Discrete-Time Dynamics of Structured Populations and Homogeneous Order-Preserving Operators
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The Classification of the Finite Simple Groups, Number 10
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Chaotic Billiards
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Painleve Transcendents
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Applications of Group Theory in Cryptography
Hang Xue, University of Arizona, Tuscon, AZ.
| SKU | Unavailable |
| ISBN 13 | 9781470474928 |
| ISBN 10 | 1470474921 |
| Title | Automorphic Forms Beyond $\mathrm {GL}_2$ |
| Author | Hang Xue |
| Series | Mathematical Surveys And Monographs |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | American Mathematical Society |
| Year published | 2024-05-31 |
| Number of pages | 187 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |