72 citations · 221 across the 16 of their papers we have counts for
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math.AG2013★ 72 cited
The pro-étale topology for schemes
Bhargav Bhatt, Peter Scholze
We give a new definition of the derived category of constructible -adic sheaves on a scheme, which is as simple as the geometric intuition behind them. Moreover, we define a…
math.NT2013
On torsion in the cohomology of locally symmetric varieties
Peter Scholze
The main result of this paper is the existence of Galois representations associated with the mod (or mod ) cohomology of the locally symmetric spaces for $\GL_n$ over a to…
math.AG2013
Perfectoid Spaces: A survey
Peter Scholze
This paper, written in relation to the Current Developments in Mathematics 2012 Conference, discusses the recent papers on perfectoid spaces. Apart from giving an introduction to t…