J. Anschutz

activity

20242026

collaborators

6 papers

math.AG2026

Analytic de Rham stacks of Fargues-Fontaine curves

Johannes AnschÃ¼tz, Guido Bosco, Arthur-CÃ©sar Le Bras +2

We define and initiate the study of analytic de Rham stacks of relative Fargues-Fontaine curves. To this end, we develop a theory of analytic de Rham stacks with sufficiently stron…

math.AG2026

On the $p$ -adic theory of local models

Johannes AnschÃ¼tz, Ian Gleason, JoÃ£o LourenÃ§o +1

We prove the Scholze--Weinstein conjecture on the existence and uniqueness of local models for local Shimura varieties, as well as the test function conjecture of Haines--Kottwitz…

math.AG2025

Hodge-Tate stacks and non-abelian $p$ -adic Hodge theory of v-perfect complexes on rigid spaces

Johannes AnschÃ¼tz, Ben Heuer, Arthur-CÃ©sar Le Bras

Let $X$ be a quasi-compact quasi-separated $p$ -adic formal scheme that is smooth either over a perfectoid $Z_{p}$ -algebra or over some ring of integers of a $p$ -adic field.…

math.NT2025

v-vector bundles on $p$ -adic fields and Sen theory via the Hodge-Tate stack

Johannes AnschÃ¼tz, Ben Heuer, Arthur-CÃ©sar Le Bras

We describe the category of continuous semilinear representations and their cohomology for the Galois group of a $p$ -adic field $K$ with coefficients in a completed algebraic closu…

math.AG2024

A 6-functor formalism for solid quasi-coherent sheaves on the Fargues-Fontaine curve

We develop a 6-functor formalism $D_{[0, \infty)} (-)$ with $Z_{p}$ -linear coefficients on small v-stacks, and discuss consequences for duality and finiteness for pr…

math.AG2024

Descent for solid quasi-coherent sheaves on perfectoid spaces

Johannes AnschÃ¼tz, Lucas Mann

We prove $v$ -descent for solid quasi-coherent sheaves on perfectoid spaces as a key technical input for the development of a $6$ -functor formalism with values in solid quasi-cohere…