5 citations · 10 across the 3 of their papers we have counts for
7 papers
Topological Hochschild homology and integral -adic Hodge theory
Bhargav Bhatt, Matthew Morrow, Peter Scholze
In mixed characteristic and in equal characteristic we define a filtration on topological Hochschild homology and its variants. This filtration is an analogue of the filtration…
-adic geometry
Peter Scholze
We discuss recent developments in -adic geometry, ranging from foundational results such as the degeneration of the Hodge-to-de Rham spectral sequence for "compact -adic mani…
Vanishing theorems for perverse sheaves on abelian varieties, revisited
Bhargav Bhatt, Christian Schnell, Peter Scholze
We revisit some of the basic results of generic vanishing theory, as pioneered by Green and Lazarsfeld, in the context of constructible sheaves. Using the language of perverse shea…
Canonical q-deformations in arithmetic geometry
Peter Scholze
In recent work with Bhatt and Morrow, we defined a new integral p-adic cohomology theory interpolating between etale and de Rham cohomology. An unexpected feature of this cohomolog…
On the p-adic cohomology of the Lubin-Tate tower
Peter Scholze
We prove a finiteness result for the p-adic cohomology of the Lubin-Tate tower. For any n>=1 and p-adic field F, this provides a canonical functor from admissible p-adic representa…
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…