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.
Rezensionen / Stimmen
'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
Reihe
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Illustrationen
Worked examples or Exercises
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 26 mm
Gewicht
ISBN-13
978-1-108-71094-7 (9781108710947)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
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.
Herausgeber*in
Fordham University, New York
Purdue University, Indiana
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 (Enstitue'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.
