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6 - Geometry of the fundamental lemma

Published online by Cambridge University Press:  05 October 2014

Pierre-Henri Chaudouard
Affiliation:
Université Paris Diderot
Fred Diamond
Affiliation:
King's College London
Payman L. Kassaei
Affiliation:
King's College London
Minhyong Kim
Affiliation:
University of Oxford
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Publisher: Cambridge University Press
Print publication year: 2014

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References

[1] A., Altman, A., Iarrobino, and S., Kleiman. Irreducibility of the compactified Jacobian. In Real and complex singularities (Proc. Ninth Nordic Summer School/NAVF Sympos. Math., Oslo, 1976), pages 1–12. Sijthoff and Noordhoff, Alphen aan den Rijn, 1977.
[2] A., Altman and S., Kleiman. Compactifying the Picard scheme. Adv. in Math., 35(1) :50–112, 1980.Google Scholar
[3] A., Beauville, M., Narasimhan, and S., Ramanan. Spectral curves and the generalised theta divisor. J. Reine Angew. Math., 398 :169–179, 1989.Google Scholar
[4] A., Belinson, J., Bernstein, and P., Deligne. Faisceaux pervers. In Analysis and topology on singular spaces, I (Luminy, 1981), volume 100 of Astérisque, pages 5–171. Soc. Math. France, Paris, 1982.
[5] R., Bezrukavnikov. The dimension of the fixed point set on affine flag manifolds. Math. Res. Lett., 3(2) :185–189, 1996.Google Scholar
[6] I., Biswas and S., Ramanan. An infinitesimal study of the moduli of Hitchin pairs. J. London Math. Soc. (2), 49(2) :219–231, 1994.Google Scholar
[7] P.-H., Chaudouard and G., Laumon. Le lemme fondamental pondéré. I. Constructions géométriques. Compos. Math., 146(6) :1416–1506, 2010.Google Scholar
[8] P.-H., Chaudouard and G., Laumon. Le lemme fondamental pondéré. II. Enoncés cohomologiques. Ann. of Math., 176(3) :1647–1781, 2012.Google Scholar
[9] R., Cluckers, T., Hales, and F., Loeser. Transfer principle for the fundamental lemma. In On the stabilization of the trace formula, volume 1 of Stab. Trace Formula Shimura Var. Arith. Appl., pages 309–347. Int. Press, Somerville, MA, 2011.
[10] P., Deligne. La conjecture de Weil. II. Inst. Hautes Études Sci. Publ. Math., (52) :137–252, 1980.Google Scholar
[11] M., Demazure, H., Pinkham, and B., Teissier, editors. Séminaire sur les Singularités des Surfaces, volume 777 of Lecture Notes in Mathematics. Springer, Berlin, 1980. Held at the Centre de Mathématiques de l'École Polytechnique, Palaiseau, 1976–1977.
[12] S., Diaz and J., Harris. Ideals associated to deformations of singular plane curves. Trans. Amer. Math. Soc., 309(2) :433–468, 1988.Google Scholar
[13] E., Esteves. Compactifying the relative Jacobian over families of reduced curves. Trans. Amer. Math. Soc., 353(8) :3045–3095 (electronic), 2001.Google Scholar
[14] M., Goresky, R., Kottwitz, and R., MacPherson. Homology of affine Springer fibers in the unramified case. Duke Math. J., 121(3) :509–561, 2004.Google Scholar
[15] M., Goresky, R., Kottwitz, and R., MacPherson. Purity of equivalued affine Springer fibers. Represent. Theory, 10 :130–146 (electronic), 2006.Google Scholar
[16] D., Kazhdan and G., Lusztig. Fixed point varieties on affine flag manifolds. Israel J. Math., 62(2) :129–168, 1988.Google Scholar
[17] J.-P., Labesse and R. P., Langlands. L-indistinguishability for SL(2). Canad. J. Math., 31(4) :726–785, 1979.Google Scholar
[18] R., Langlands. Les débuts d'une formule des traces stable, volume 13 of Publications Mathématiques de l'Université Paris VII. Université de Paris VII U.E.R. de Mathématiques, Paris, 1983.
[19] R., Langlands and D., Shelstad. On the definition of transfer factors. Math. Ann., 278 :219–271, 1987.Google Scholar
[20] S., Langton. Valuative criteria for families of vector bundles on algebraic varieties. Ann. of Math. (2), 101 :88–110, 1975.Google Scholar
[21] G., Laumon. Fibres de Springer et jacobiennes compactifiées. In Algebraic geometry and number theory, volume 253 of Progr. Math., pages 515–563. Birkhäuser Boston, Boston, MA, 2006.
[22] B. C., Ngô. Fibration de Hitchin et endoscopie. Invent. Math., 164(2) :399–453, 2006.Google Scholar
[23] B. C., Ngô. Le lemme fondamental pour les algèbres de Lie. Publ. Math. Inst. Hautes Études Sci., (111) :1–169, 2010.Google Scholar
[24] B. C., Ngô. Decomposition theorem and abelian fibration. In On the stabilization of the trace formula, volume 1 of Stab. Trace Formula Shimura Var. Arith. Appl., pages 253–264. Int. Press, Somerville, MA, 2011.
[25] J.-L., Waldspurger. Endoscopie et changement de caractéristique. J. Inst. Math. Jussieu, 5(3) :423–525, 2006.Google Scholar
[26] J.-L., Waldspurger. L'endoscopie tordue n'est pas si tordue. Mem. Amer. Math. Soc., 194(908) :x+261, 2008.Google Scholar

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