The Genesis of the Langlands Program: 467 (London Mathematical Society Lecture Note Series, Series Number 467)

Cambridge University Press, 8/5/2021
EAN 9781108710947, ISBN10: 1108710948

Paperback, 450 pages, 22.9 x 15.2 x 2.6 cm
Language: English
Originally published in English

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.

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 (Enstitü'de unutulmaz bir yıl) 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 derrière le Mathématicien 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 Herveì 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'universalité au point critique des modèles bidimensionnels Yvan Saint-Aubin.