F2015 Topics Perverse Sheaves and Fundamental Lemmas

[1] A. Arabia, Faisceaux pervers sur les varie?te?s alge?briques complexes. Correspondance de Springer, [2] A. Arabia, Introduction a‘ l?homologie d?intersection [3] A. Beilinson, J. Bernstein, P. Deligne, Faisceaux pervers, in: Analyse et topologie sur les espaces singuliers, Aste?risque 100, 1982. [4] A. Borel et. al., Intersection Cohomology, Birka?user Progress in Math. 50, 1984, SB 2083. [5] T. Braden, R. MacPherson, From moment graphs to intersection cohomology, Math. Ann. 321 (2001), no. 3, 533?551. [6] Mark Andrea A. de Cataldo and Luca Migliorini. The decomposition theorem, perverse sheaves and the topology of algebraic maps. Bulletin of the AMS, 46(4), October 2009. [7] E. Frenkel, “Lectures on the Langlands Program and Conformal Field Theory”, in Frontiers in Number Theory, Physics and Geometry II, eds. P. Cartier, et al., pp. 387-536, Springer Verlag, 2007 [8] E. Frenkel, Langlands Program, trace formulas, and their geometrization, Bull. Amer. Math. Soc. 50 (2013), 1-55 Bull. Amer. Math. Soc. 50 (2013), 1-55 [9] M. Goresky, R. MacPherson, Intersection homology theory, Topology 19 (1980), 135?162. [10] M. Goresky, R. MacPherson, Intersection Homology II, Invent. Math. 72, no. 1 (1983), 77-129. [11] R. Kiehl, R. Weissauer, Weil conjectures, perverse sheaves and l-adic Fourier transform, Springer Erg. Math. 42, 2001. [12] F. Kirwan, Introduction to intersection homology theory, Pitman Research Notes in Math., Longman 1988. [13] R. Hotta, K. Takeuchi, T. Tanisaki, D-Modules, Perverse Sheaves, and Representation Theory, Birkha?user Progress in Math. 236 2007 [14] G. Laumon and B. C. Ngo, Le lemme fondamental pour les groupes unitaires. [15] David Nadler The geometric nature of the fundamental lemma Bull. Amer. Math. Soc. 49 (2012), 1-50. [16] K. Rietsch, An introduction to perverse sheaves, arXiv:math/0307349v1 [17] Z. Yun, The fundamental lemma of Jacquet–Rallis in positive characteristics, Duke Math. J. 156 (2011), no. 2, 167–228.