{"product_id":"an-introduction-to-the-langlands-program-paperback","title":"An Introduction to the Langlands Program - Paperback","description":"\u003cp\u003eby \u003cb\u003eJoseph Bernstein\u003c\/b\u003e (Editor), \u003cb\u003eS. S. Kudla\u003c\/b\u003e (Contribution by), \u003cb\u003eStephen Gelbart\u003c\/b\u003e (Editor)\u003c\/p\u003e\u003cp\u003eFor the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics. The twelve chapters of this monograph give a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. First-year graduate students and researchers will benefit from this beautiful text.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eFor the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics. \u003c\/p\u003e \u003cp\u003eThe twelve chapters of this monograph present a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. \u003c\/p\u003e \u003cp\u003e\u003cem\u003eKey features of this self-contained presentation: \u003c\/em\u003e \u003c\/p\u003e \u003cp\u003e A variety of areas in number theory from the classical zeta function up to the Langlands program are covered. \u003c\/p\u003e \u003cp\u003e The exposition is systematic, with each chapter focusing on a particular topic devoted to special cases of the program: \u003c\/p\u003e \u003cp\u003e- Basic zeta function of Riemann and its generalizations to Dirichlet and Hecke L-functions, class field theory and some topics on classical automorphic functions\u003cstrong\u003e (E. Kowalski)\u003c\/strong\u003e \u003c\/p\u003e \u003cp\u003e- A study of the conjectures of Artin and Shimura-Taniyama-Weil \u003cstrong\u003e(E. de Shalit)\u003c\/strong\u003e \u003c\/p\u003e \u003cp\u003e- An examination of classical modular (automorphic) L-functions as GL(2) functions, bringing into play the theory of representations \u003cstrong\u003e(S.S. Kudla)\u003c\/strong\u003e \u003c\/p\u003e \u003cp\u003e- Selberg's theory of the trace formula, which is a way to study automorphic representations \u003cstrong\u003e(D. Bump)\u003c\/strong\u003e \u003c\/p\u003e \u003cp\u003e- Discussion of cuspidal automorphic representations of GL(2, (A)) leads to Langlands theory for GL(n) and the importance of the Langlands dual group \u003cstrong\u003e(J.W. Cogdell)\u003c\/strong\u003e \u003c\/p\u003e \u003cp\u003e- An introduction to the geometric Langlands program, a new and active area of research that permits using powerful methods of algebraic geometry to construct automorphic sheaves \u003cstrong\u003e(D. Gaitsgory)\u003c\/strong\u003e\u003c\/p\u003e \u003cp\u003eGraduate students and researchers will benefit from this beautiful text.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 281\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.55 x 9.22 x 6.37 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e May 20, 2003\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42722499887167,"sku":"9780817632113","price":155.5,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0105\/8226\/1823\/files\/ea76ca47d2a71cfe8e7de1249c8da22a.webp?v=1765095967","url":"https:\/\/dhlswag.com\/products\/an-introduction-to-the-langlands-program-paperback","provider":"BBB","version":"1.0","type":"link"}