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4. Local Systems and Perverse Sheaves

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1859)

Abstract

In this chapter we introduce the results on local systems and perverse sheaves which will be used in the following next chapters.

Throughout this chapter, the letter X denotes an algebraic variety over \(\overline{\mathbb{F}}_q\). As in the previous chapter, we denote by \(\ell\) a prime not equal to p and by \(\overline{\mathbb{Q}}_{\ell}\) an algebraic closure of \(\mathbb{Q}_{\ell}\). In the following, the finite extensions of \(\mathbb{Q}_{\ell}\) considered are in \(\overline{\mathbb{Q}}_{\ell}\).

Mathematics Subject Classification (2000):

  • 20C33

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Correspondence to Emmanuel Letellier .

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© 2005 Springer-Verlag Berlin/Heidelberg

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Letellier, E. (2005). 4. Local Systems and Perverse Sheaves. In: Fourier Transforms of Invariant Functions on Finite Reductive Lie Algebras. Lecture Notes in Mathematics, vol 1859. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31561-2_4

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