Cohomology of p-adic Stein spaces

Cohomology of p-adic Stein spaces

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Wieslawa Niziol , ENS Lyon
Fine Hall 214

I will discuss a comparison theorem that allows us to recover p-adic (pro-)etale cohomology of p-adic Stein spaces with semistable reduction over local rings of mixed characteristic from complexes of differential forms. To illustrate possible applications, I will show how it allows us to compute cohomology of Drinfeld half-space in any dimension and  of its coverings in dimension one. This is a joint work with Pierre Colmez and Gabriel Dospinescu.