5 citations · 11 across the 11 of their papers we have counts for
13 papers
Analytic de Rham stacks of Fargues-Fontaine curves
Johannes Anschütz, Guido Bosco, Arthur-César 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…
A 6-functor formalism for solid quasi-coherent sheaves on the Fargues-Fontaine curve
Johannes Anschütz, Arthur-César Le Bras, Lucas Mann
We develop a 6-functor formalism with -linear coefficients on small v-stacks, and discuss consequences for duality and finiteness for pr…
Descent for solid quasi-coherent sheaves on perfectoid spaces
Johannes Anschütz, Lucas Mann
We prove -descent for solid quasi-coherent sheaves on perfectoid spaces as a key technical input for the development of a -functor formalism with values in solid quasi-cohere…
The small -adic Simpson correspondence in terms of moduli spaces
Johannes Anschütz, Ben Heuer, Arthur-César Le Bras
For any rigid space over a perfectoid extension of that admits a liftable smooth formal model, we construct an isomorphism between the moduli stacks of Hitchin-small…
Gaitsgory's central functor and the Arkhipov-Bezrukavnikov equivalence in mixed characteristic
Johannes Anschütz, João Lourenço, Zhiyou Wu +1
We show that the nearby cycles functor for the -adic Hecke stack at parahoric level is perverse t-exact, by developing a theory of Wakimoto filtrations at Iwahori level, and tha…
Hodge-Tate stacks and non-abelian -adic Hodge theory of v-perfect complexes on rigid spaces
Johannes Anschütz, Ben Heuer, Arthur-César Le Bras
Let be a quasi-compact quasi-separated -adic formal scheme that is smooth either over a perfectoid -algebra or over some ring of integers of a -adic field.…