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Langlands Program

Langlands Program Resourses


EASIER ARTICLES:
Gelbart, Stephen, An elementary introduction to the Langlands program. Bull. Amer. Math. Soc. (N.S.) 10 (1984), no. 2, 177--219.

Knapp, A. W.(1-SUNYS), Introduction to the Langlands program. Representation theory and automorphic forms (Edinburgh, 1996), 245--302, Proc. Sympos. Pure Math., 61, Amer. Math. Soc., Providence, RI, 1997.

Arthur, James(3-TRNT), The principle of functoriality. Mathematical challenges of the 21st century (Los Angeles, CA, 2000). Bull. Amer. Math. Soc. (N.S.) 40 (2003), no. 1, 39--53 (electronic).

Langlands, Robert P.(1-IASP), Where stands functoriality today? Representation theory and automorphic forms (Edinburgh, 1996), 457--471, Proc. Sympos. Pure Math., 61, Amer. Math. Soc., Providence, RI, 1997.

Arthur, James(3-TRNT); Gelbart, Stephen(IL-WEIZ), Lectures on automorphic $L$-functions. $L$-functions and arithmetic (Durham, 1989), 1--59, London Math. Soc. Lecture Note Ser., 153, Cambridge Univ. Press, Cambridge, 1991.

Gelbart, Stephen S.(IL-WEIZMC); Miller, Stephen D.(1-RTG-HC), Riemann's zeta function and beyond. (English. English summary), Bull. Amer. Math. Soc. (N.S.) 41 (2004), no. 1, 59--112 (electronic).

Gelbart, Stephen, Automorphic forms and Artin's conjecture. Modular functions of one variable,
VI (Proc. Second Internat. Conf., Univ. Bonn., Bonn, 1976), pp. 241--276. Lecture Notes in Math., Vol. 627, Springer, Berlin, 1977.

Gelbart, Stephen(IL-WEIZ), Automorphic forms and Artin's conjecture. II. Mathematische Wissenschaften gestern und heute. 300 Jahre Mathematische Gesellschaft in Hamburg, Teil 4 (Hamburg, 1990). Mitt. Math. Ges. Hamburg 12 (1991), no. 4, 907--947 (1992).

Gelbart, Stephen, Elliptic curves and automorphic representations. Advances in Math. 21 (1976), no. 3, 235--292.

MORE DIFFICULT ARTICLES:
Langlands, Robert P.(1-IASP-SM), The trace formula and its applications: an introduction to the work of James Arthur. Canad. Math. Bull. 44 (2001), no. 2, 160--209.

Langlands, R. P., Problems in the theory of automorphic forms. Lectures in modern analysis and
applications, III, pp. 18--61. Lecture Notes in Math., Vol. 170, Springer, Berlin, 1970.

Borel, A., Automorphic $L$-functions. Automorphic forms, representations and $L$-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977), Part 2, pp. 27--61, Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., Providence, R.I., 1979.

BOOKS:
Bump, D.; Cogdell, J. W.; de Shalit, E.; Gaitsgory, D.; Kowalski, E.; Kudla, S. S., An introduction to the Langlands program. Lectures presented at the Hebrew University of Jerusalem, Jerusalem, March 12--16, 2001. Edited by Joseph Bernstein and Stephen Gelbart. BirkhC$user Boston, Inc., Boston, MA, 2003. x+281 pp. ISBN 0-8176-3211-5

Gelbart, Stephen; Shahidi, Freydoon Analytic properties of automorphic $L$-functions. Perspectives in Mathematics, 6. Academic Press, Inc., Boston, MA, 1988. viii+131 pp. ISBN: 0-12-279175-4 (Reviewer: David Joyner) 11F70

Representation theory and automorphic forms. Papers from the Instructional Conference held in Edinburgh, March 17--29, 1996. Edited by T. N. Bailey and A. W. Knapp. Proceedings of Symposia in Pure Mathematics, 61. American Mathematical Society, Providence, RI; International Centre for Mathematical Sciences (ICMS), Edinburgh, 1997. viii+479 pp. ISBN 0-8218-0609-2

Bump, Daniel(1-STF), Automorphic forms and representations. Cambridge Studies in Advanced Mathematics, 55. Cambridge University Press, Cambridge, 1997. xiv+574 pp. ISBN 0-521-55098-X.

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