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.

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.