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Book review of: Nicholas M. Katz, Moments, monodromy, and perversity. A Diophantine perspective. (English) Zbl 1292.00031

Review of [Zbl 1079.14025].

MSC:

00A17 External book reviews
14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry
14F20 Étale and other Grothendieck topologies and (co)homologies

Citations:

Zbl 1079.14025
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References:

[1] A. A. Beĭlinson, J. Bernstein, and P. Deligne, Faisceaux pervers, Analysis and topology on singular spaces, I (Luminy, 1981) Astérisque, vol. 100, Soc. Math. France, Paris, 1982, pp. 5 – 171 (French). · Zbl 0536.14011
[2] Pierre Deligne, La conjecture de Weil. II, Inst. Hautes Études Sci. Publ. Math. 52 (1980), 137 – 252 (French). · Zbl 0456.14014
[3] Mark Goresky and Robert MacPherson, Intersection homology theory, Topology 19 (1980), no. 2, 135 – 162. · Zbl 0448.55004
[4] Robert M. Guralnick and Pham Huu Tiep, Decompositions of small tensor powers and Larsen’s conjecture, Represent. Theory 9 (2005), 138 – 208. · Zbl 1109.20040
[5] Clozel, Laurent; Harris, Michael; Taylor, Richard: Automorphy for some \( \ell\)-adic lifts of automorphic mod \( \ell\) representations, preprint. · Zbl 1169.11020
[6] Harris, Michael; Shepherd-Barron, Nicholas; Taylor, Richard: A family of Calabi-Yau varieties and potential automorphy, preprint. · Zbl 1263.11061
[7] Taylor, Richard: Automorphy for some \( \ell\)-adic lifts of automorphic mod \( \ell\) representations, II, preprint. · Zbl 1169.11021
[8] Nicholas M. Katz, Sommes exponentielles, Astérisque, vol. 79, Société Mathématique de France, Paris, 1980 (French). Course taught at the University of Paris, Orsay, Fall 1979; With a preface by Luc Illusie; Notes written by Gérard Laumon; With an English summary. · Zbl 0469.12007
[9] Nicholas M. Katz, Gauss sums, Kloosterman sums, and monodromy groups, Annals of Mathematics Studies, vol. 116, Princeton University Press, Princeton, NJ, 1988. · Zbl 0675.14004
[10] Nicholas M. Katz, Exponential sums and differential equations, Annals of Mathematics Studies, vol. 124, Princeton University Press, Princeton, NJ, 1990. · Zbl 0731.14008
[11] Nicholas M. Katz, Twisted \?-functions and monodromy, Annals of Mathematics Studies, vol. 150, Princeton University Press, Princeton, NJ, 2002. · Zbl 1029.14005
[12] M. Larsen and R. Pink, Determining representations from invariant dimensions, Invent. Math. 102 (1990), no. 2, 377 – 398. · Zbl 0687.22004
[13] Hermann Weyl, The classical groups, Princeton Landmarks in Mathematics, Princeton University Press, Princeton, NJ, 1997. Their invariants and representations; Fifteenth printing; Princeton Paperbacks. · Zbl 1024.20501
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