P. Scholze

activity

20102026

most citedThe pro-étale topology for schemes

72 citations · 221 across the 16 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.AG2021

Relative Perversity

David Hansen, Peter Scholze

We define and study a relative perverse $t$ -structure associated with any finitely presented morphism of schemes $f : X \to S$ , with relative perversity equivalent to perversity of t…

math.NT2021★ 1 cited

Prismatic $F$ -crystals and crystalline Galois representations

Bhargav Bhatt, Peter Scholze

Let $K$ be a complete discretely valued field of mixed characteristic $(0, p)$ with perfect residue field. We prove that the category of prismatic $F$ -crystals on $O_{K}$ is…

math.RT2021★ 40 cited

Geometrization of the local Langlands correspondence

Laurent Fargues, Peter Scholze

Following the idea of [Far16], we develop the foundations of the geometric Langlands program on the Fargues--Fontaine curve. In particular, we define a category of $ℓ$ -adic shea…

Relative Perversity

Prismatic F-crystals and crystalline Galois representations

Geometrization of the local Langlands correspondence

Prismatic $F$ -crystals and crystalline Galois representations