| Softcover ISBN: | 978-1-4704-7437-9 |
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| Softcover ISBN: | 978-1-4704-7437-9 |
| eBook: ISBN: | 978-1-4704-8463-7 |
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| Softcover ISBN: | 978-1-4704-7437-9 |
| Product Code: | PSPUM/112.1 |
| List Price: | $139.00 |
| MAA Member Price: | $125.10 |
| AMS Member Price: | $111.20 |
| eBook ISBN: | 978-1-4704-8463-7 |
| Product Code: | PSPUM/112.1.E |
| List Price: | $137.00 |
| MAA Member Price: | $123.30 |
| AMS Member Price: | $109.60 |
| Softcover ISBN: | 978-1-4704-7437-9 |
| eBook ISBN: | 978-1-4704-8463-7 |
| Product Code: | PSPUM/112.1.B |
| List Price: | $276.00 $207.50 |
| MAA Member Price: | $248.40 $186.75 |
| AMS Member Price: | $220.80 $166.00 |
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Book DetailsProceedings of Symposia in Pure MathematicsVolume: 112; 2025; 552 ppMSC: Primary 11; 14; 22
These three volumes comprise the proceedings of a summer school on the Langlands Program held at the Institut des Hautes Études Scientifiques during the three weeks of July 11–29, 2022. The twenty-five articles in these proceedings capture the content of lectures given by thirty-one leading experts at the summer school. They showcase the state of the art in some (but not all) aspects of the Langlands program, such as the theory of endoscopy, the trace formula, the local Langlands correspondence, Shimura varieties, and shtukas. In addition, the volumes highlight several emerging unifying themes and new connections that are expected to be influential in the future development of the subject, such as the ideas of geometrization and categorification and the evolving Relative Langlands Program. The broad spectrum of topics reflects the continued growth of the Langlands Program, and the articles are written to help overcome the language barrier that sometimes exists between different subfields, while highlighting the connecting threads that run through different parts of it. These volumes should serve as a useful resource for beginning PhD students as well as more seasoned researchers who are interested in learning about the new directions and developments of this fascinating subject.
ReadershipGraduate students and researchers Interested in various aspects of algebraic geometry.
This item is also available as part of a set: -
Table of Contents
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Part 1. Representations, automorphic forms, and endoscopy
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Olivier Taïbi — The local Langlands conjecture
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Jessica Fintzen — Supercuspidal representations: Construction, classification, and characters
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Lucas Mason-Brown — Arthur’s conjectures and the orbit method for real reductive groups
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Tasho Kaletha — A brief introduction to the trace formula and its stabilization
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Erez Lapid — Some perspectives on Eisenstein series
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Part 2. Shimura varieties and shtukas
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Sophie Morel — Shimura varieties
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Zhiwei Yun — Introduction to shtukas and their moduli
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Jared Weinstein — Shtukas and the Langlands program: A bird’s eye view
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Ana Caraiani and Sug Woo Shin — Recent progress on Langlands reciprocity for general linear groups: Shimura varieties and beyond
-
Cong Xue — Cohomology sheaves of stacks of shtukas
-
Sam Raskin — An arithmetic application of geometric Langlands
-
-
RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
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These three volumes comprise the proceedings of a summer school on the Langlands Program held at the Institut des Hautes Études Scientifiques during the three weeks of July 11–29, 2022. The twenty-five articles in these proceedings capture the content of lectures given by thirty-one leading experts at the summer school. They showcase the state of the art in some (but not all) aspects of the Langlands program, such as the theory of endoscopy, the trace formula, the local Langlands correspondence, Shimura varieties, and shtukas. In addition, the volumes highlight several emerging unifying themes and new connections that are expected to be influential in the future development of the subject, such as the ideas of geometrization and categorification and the evolving Relative Langlands Program. The broad spectrum of topics reflects the continued growth of the Langlands Program, and the articles are written to help overcome the language barrier that sometimes exists between different subfields, while highlighting the connecting threads that run through different parts of it. These volumes should serve as a useful resource for beginning PhD students as well as more seasoned researchers who are interested in learning about the new directions and developments of this fascinating subject.
Graduate students and researchers Interested in various aspects of algebraic geometry.
-
Part 1. Representations, automorphic forms, and endoscopy
-
Olivier Taïbi — The local Langlands conjecture
-
Jessica Fintzen — Supercuspidal representations: Construction, classification, and characters
-
Lucas Mason-Brown — Arthur’s conjectures and the orbit method for real reductive groups
-
Tasho Kaletha — A brief introduction to the trace formula and its stabilization
-
Erez Lapid — Some perspectives on Eisenstein series
-
Part 2. Shimura varieties and shtukas
-
Sophie Morel — Shimura varieties
-
Zhiwei Yun — Introduction to shtukas and their moduli
-
Jared Weinstein — Shtukas and the Langlands program: A bird’s eye view
-
Ana Caraiani and Sug Woo Shin — Recent progress on Langlands reciprocity for general linear groups: Shimura varieties and beyond
-
Cong Xue — Cohomology sheaves of stacks of shtukas
-
Sam Raskin — An arithmetic application of geometric Langlands
