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The Newton stratification of Shimura varieties and the Arthur-Selberg trace formula

The Newton stratification of Shimura varieties and the Arthur-Selberg trace formula

We study the Newton stratification of Shimura varieties of PEL type, at the places of good reduction. We consider the basic stratum of certain simple Shimura varieties of PEL type at a place of good reduction. Under simplifying hypotheses we prove a relation between the l-adic cohomology of this basic …