L. Mann

activity

20202022

most citedThe

p

-adic Corlette-Simpson correspondence for abeloids

9 citations · 17 across the 6 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.AG2022

The 6-Functor Formalism for $Z_{ℓ}$ - and $Q_{ℓ}$ -Sheaves on Diamonds

Lucas Mann

For every nuclear $Z_{ℓ}$ -algebra $Λ$ and every small v-stack $X$ we construct an $\infty$ -category $D_{nuc} (X, Λ)$ of nuclear $Λ$ -modules on $X$ . We then…

math.NT2022

$p$ -adic sheaves on classifying stacks, and the $p$ -adic Jacquet-Langlands correspondence

David Hansen, Lucas Mann

We establish several new properties of the $p$ -adic Jacquet-Langlands functor defined by Scholze in terms of the cohomology of the Lubin-Tate tower. In particular, we reprove Schol…

math.AG2022★ 6 cited

A $p$ -Adic 6-Functor Formalism in Rigid-Analytic Geometry

Lucas Mann

We develop a full 6-functor formalism for $p$ -torsion étale sheaves in rigid-analytic geometry. More concretely, we use the recently developed condensed mathematics by Clausen--Sch…

The 6-Functor Formalism for Zℓ​- and Qℓ​-Sheaves on Diamonds

p-adic sheaves on classifying stacks, and the p-adic Jacquet-Langlands correspondence

A p-Adic 6-Functor Formalism in Rigid-Analytic Geometry

The 6-Functor Formalism for $Z_{ℓ}$ - and $Q_{ℓ}$ -Sheaves on Diamonds

$p$ -adic sheaves on classifying stacks, and the $p$ -adic Jacquet-Langlands correspondence

A $p$ -Adic 6-Functor Formalism in Rigid-Analytic Geometry