The Frobenius-Hecke trace on the cohomology of two-slope Newton strata of compact unitary Kottwitz varieties is expressed as an explicit finite sum over type I and type II automorphic representations.
Rigid geometry, lefschetz-verdier trace formula and deligne’s conjecture
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The cohomology of certain intermediate strata of Kottwitz varieties
The Frobenius-Hecke trace on the cohomology of two-slope Newton strata of compact unitary Kottwitz varieties is expressed as an explicit finite sum over type I and type II automorphic representations.