Weil conjectures, perverse sheaves, and l-adic Fourier transform

Inhaltsangabe / Literatur / empfohlene Vorkenntnisse In the previous course (WiSe 2015/16) on Deligne's paper "Weil I" I just treated the etale cohomology groups of varieties. The present course will give the more general results in Deligne's paper "Weil II", for the behavior of weights under morphisms of sheaves and complexes of sheaves. As a by-product we study the so-called perverse sheaves introduced by Beilinson,Bernstein and Deligne. Literature: The Articles "Weil I" IHES Publ.Math. 43, (1974); 273–307 , "Weil II" IHES Publ.Math. 52 (1980) 137–252; Beilinson, A. A.; Bernstein, J.; Deligne, P. Faisceaux pervers. (French) [Perverse sheaves] Analysis and topology on singular spaces, I (Luminy, 1981), 5–171, Astérisque, 100, Soc. Math. France, Paris, 1982. Kiel, R., Weissauer, R., Weil conjectures, perverse sheaves and l-adic Fourier transform, Springer-Verlag, Berlin, 2001. xii+375 pp. Some knowledge on (etale) sheaves are useful.