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math.NT2021★ 1 cited
An averaging formula for the cohomology of PEL-type Rapoport--Zink spaces
Alexander Bertoloni Meli
We prove under certain assumptions a formula for the cohomology of PEL-type Rapoport--Zink spaces that "averages" over the Kottwitz set. Our formula generalizes that of Shin's beyo…
math.NT2021
Global B(G) with adelic coefficients and transfer factors at non-regular elements
Alexander Bertoloni Meli
The goal of this paper is extend Kottwitz's theory of for global fields. In particular, we show how to extend the definition of " with adelic coefficients" from tori t…