The genesis of the Langlands program
著者
書誌事項
The genesis of the Langlands program
（London Mathematical Society lecture note series, 467）
Cambridge University Press, 2021
- : pbk
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注記
Contributions in English and French
Includes bibliographical references
内容説明・目次
内容説明
Robert Langlands formulated his celebrated conjectures, initiating the Langlands Program, at the age of 31, profoundly changing the landscape of mathematics. Langlands, recipient of the Abel Prize, is famous for his insight in discovering links among seemingly dissimilar objects, leading to astounding results. This book is uniquely designed to serve a wide range of mathematicians and advanced students, showcasing Langlands' unique creativity and guiding readers through the areas of Langlands' work that are generally regarded as technical and difficult to penetrate. Part 1 features non-technical personal reflections, including Langlands' own words describing how and why he was led to formulate his conjectures. Part 2 includes survey articles of Langlands' early work that led to his conjectures, and centers on his principle of functoriality and foundational work on the Eisenstein series, and is accessible to mathematicians from other fields. Part 3 describes some of Langlands' contributions to mathematical physics.
目次
- Part I. Remembrance of Things Past: 1. A glimpse at the genesis of the Langlands program Julia Mueller
- 2. The early Langlands program - personal reflections Steve Gelbart
- Part II. Langlands as Mentor: 3. Langlands and Turkey Cihan Saclioglu
- 4. Reminiscences by a student of Langlands Thomas Hales
- 5. Graduate school with Langlands Ali Altug
- 6. An unforgettable year at the Institute (Enstitu'de unutulmaz bir yil) Dinakar Ramakrishnan
- Part III. Langlands as Friend: 7. My reminiscences of Bob Langlands at the University of British Columbia Alan Goodacre
- 8. Robert P. Langlands: l'homme derriere le Mathematicien Claude Levesque
- 9. un homme de culture et de nature Claude Pichet
- Part IV. Surveys of the Langlands Program - Early Years: 10. An introduction to Langlands functoriality James Arthur
- 11. In the beginning - Langlands' doctoral thesis Derek W. Robinson
- 12. The Langlands spectral decomposition Jean-Pierre Labesse
- 13. Automorphic representations and L-functions for the group GL(n) Dorian Goldfeld and Hervei Jacquet
- 14. Automorphic L-functions Freydoon Shahidi
- 15. Langlands reciprocity: L-functions, automorphic forms, and Diophantine equations Matthew Emerton
- 16. On some early sources for the notion of transfer in Langlands functoriality Diana Shelstad
- Part V. Langlands' Contributions to Mathematical Physics: 17. Robert Langlands' work in mathematical physics Thomas Spencer
- 18. L'invariance conforme et l'universalite au point critique des modeles bidimensionnels Yvan Saint-Aubin.
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