Nearby cycles for local models of some Shimura varieties

Details Nearby cycles for local models of some Shimura varieties Nearby cycles for local models of some Shimura varieties

2001-03-07

arxiv.org/abs/math/0103047v1

Mathematics

Algebraic Geometry

Scientific paper

Kottwitz conjectured a formula for the (semi-simple) trace of Frobenius on
the nearby cycles for the local model of a Shimura variety with Iwahori-type
level structure. In this paper, we prove his conjecture in the linear and
symplectic cases by adapting an argument of Gaitsgory, who proved an analogous
theorem in the equal characteristic case.

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