勉強会
「p進代数群の表現論」


概要
目的
プログラム
2月12日(日)
2月13日(月)
2月14日(火)
2月15日(水)
2月16日(木)
2月17日(金)

参考文献

[1] I. N. Bernstein and A. V. Zelevinsky, Representations of the group GL(n; F), where F is a local non-Archimedean field.
Russian Math. Surveys 31 (1976), no. 3, 1-68.
[2] I. N. Bernstein and A. V. Zelevinsky, Induced representations of reductive p-adic groups.
I. Ann. Sci. Ecole Norm. Sup. (4) 10 (1977), no. 4, 441-472
[3] C. J. Bushnell and G. Henniart, The local Langlands conjecture for GL(2).
Grundlehren der Mathematischen Wissenschaften, 335. Springer-Verlag, Berlin, 2006. xii+347 pp.
[4] W. Casselman, On some results of Atkin and Lehner.
Math. Ann. 201 (1973), 301- 314.
[5] W. Casselman, Introduction to admissible representations of p-adic groups,
80 pp, preprint. available at http://www.math.ubc.ca/~cass/research.html.
[6] S. S. Gelbart, Automorphic forms on adele groups.
Annals of Mathematics Studies, No. 83. Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1975. x+267 pp.
[7] R. Godement and H. Jacquet, Zeta functions of simple algebras.
Lecture Notes in Mathematics, Vol. 260. Springer-Verlag, Berlin-New York, 1972. ix+188 pp.
[8] F. Herzig, The classification of irreducible admissible mod p representations ofa p-adic GLn.
Inventiones Mathematicae 186 (2011), no. 2, 373-434.
[9] H. Jacquet, I. I. Piatetski-Shapiro, and J. Shalika, Automorphic forms on GL(3). I.
Ann. of Math. (2) 109 (1979), no. 1, 169-212
[10] H. Jacquet, I. I. Piatetski-Shapiro, and J. Shalika, Automorphic forms on GL(3). II.
Ann. of Math. (2) 109 (1979), no. 2, 213-258.
[11] H. Jacquet, I. I. Piatetski-Shapiro, and J. Shalika, Conducteur des representations du groupe lineaire.
Math. Ann. 256 (1981), no. 2, 199-214.
[12] S. Kondo and S. Yasuda, Local L and epsilon factors in Hecke eigenvalues,
preprint.
[13] B. Roberts and R. Schmidt, Local newforms for GSp(4).
Lecture Notes in Mathematics, 1918. Springer, Berlin, 2007. viii+307 pp.
[14] R. Schmidt, Some remarks on local newforms for GL(2).
J. Ramanujan Math. Soc. 17 (2002), no. 2, 115-147.
[15] 清水英男, 保型形式III.
岩波講座基礎数学.
[16] A. V. Zelevinsky, Induced representations of reductive p-adic groups. II. On irreducible representations of GL(n).
Ann. Sci. Ecole Norm. Sup. (4) 13 (1980), no. 2, 165-210

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