Cohomology of p-adic Stein spaces

Thursday, September 21, 2017 -
4:30pm to 5:30pm
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.
Wieslawa Niziol
ENS Lyon
Event Location: 
Fine Hall 214