Preuve d'une conjecture de Frenkel-Gaitsgory-Kazhdan-Vilonen

Details Preuve d'une conjecture de Frenkel-Gaitsgory-Kazhdan-Vilonen Preuve d'une conjecture de Frenkel-Gaitsgory-Kazhdan-Vilonen

1998-01-23

arxiv.org/abs/math/9801109v1

Mathematics

Algebraic Geometry

Latex, 14 pages

Scientific paper

We prove a conjecture of Frenkel-Gaitsgory-Kazhdan-Vilonen on some
exponential sums related to the geometric Langlands correspondence. Our main
ingredients are the resolution of Lusztig scheme of lattices introduced by
Laumon and the decomposition theorem of Beilinson-Bernstein-Deligne-Gabber.

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