72 citations · 221 across the 16 of their papers we have counts for
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math.AG2011
Perfectoid spaces
Peter Scholze
We introduce a certain class of so-called perfectoid rings and spaces, which give a natural framework for Faltings' almost purity theorem, and for which there is a natural tilting…
math.AG2011★ 1 cited
On the cohomology of compact unitary group Shimura varieties at ramified split places
Peter Scholze, Sug Woo Shin
In this article, we prove results about the cohomology of compact unitary group Shimura varieties at split places. In nonendoscopic cases, we are able to give a full description of…
math.AG2011★ 2 cited
The Langlands-Kottwitz method and deformation spaces of -divisible groups
Peter Scholze
We extend the results of Kottwitz on points of Shimura varieties over finite fields to cases of bad reduction. The "test function" whose twisted orbital integrals appear in the fin…