SU\G(𝔸)/K·U

None

Thomas J. Haines, B. C. NgĂ´

Type: Article

Publication Date: 2002-01-01

Citations: 53

DOI: https://doi.org/10.1023/a:1019666710051

Abstract

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.

Locations

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+ Perverse sheaves on a Loop group and Langlands' duality 1995 Victor Ginzburg
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+ The combinatorics of Bernstein functions 2000 Thomas J. Haines
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