A proof of a generalization of Deligne's conjecture

Mathematics – Algebraic Geometry

Scientific paper

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Research announcement, published version

Scientific paper

The goal of this paper is to give a simple proof of Deligne's conjecture
(proven by Fujiwara) and to generalize it to the situation appearing in our
joint project with David Kazhdan on the global Langlands correspondence over
function fields. Our proof holds in the realm of ordinary algebraic geometry
and does not use rigid geometry.

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