Genesis of the Langlands Program (eBook, PDF)

Redaktion: Mueller, Julia

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 31. Juli 2021
• Englisch
• ISBN-13: 9781108619950
• Artikelnr.: 66179160

Inhaltsangabe

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 y¿l) 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.