The Genesis of the Langlands Program

Julia Mueller is a Professor of Mathematics at Fordham University. Her research is in certain areas of number theory, such as analytic number theory, Diophantine approximations, and Diophantine equations. Freydoon Shahidi is a Distinguished Professor of Mathematics at Purdue University. He is a member of the American Academy of Arts and Sciences and a fellow of the American Mathematical Society.

'It is exciting to read this important book. It is a marvelous panorama of the life, work, and inspiration of Robert Langlands, as he discovered and developed his grand ideas, and as he guided his students. These ideas now largely shape the broad architecture of representation theory and automorphic forms, creating a grand bridge between analysis and arithmetic - with connections to mathematical physics. The contributors to this volume offer us - and will surely offer future historians of our mathematical age - a splendid introduction to, and overview of, the early days of Langlands' program.' Barry Mazur, Harvard University

• 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.