6 papers
Parahoric motivic Hecke categories in equal and mixed characteristic
Sebastian Bartling, Rızacan Çiloğlu
We study constructible -linear étale motives on parahoric Hecke stacks associated with quasi-split tamely ramified reductive groups. We prove a canonical…
Close fields, affine Springer fibers and fundamental lemmas
Sebastian Bartling, Kazuhiro Ito
We prove a geometric local constancy theorem for affine Springer fibers in families of close local fields. Consequently, stable orbital integrals are locally constant in these fami…
Vanishing of Brauer groups of moduli stacks of stable curves
Sebastian Bartling, Kazuhiro Ito
We show that the cohomological Brauer groups of the moduli stacks of stable genus curves over the integers and an algebraic closure of the rational numbers vanish for any $g\ge…
Sur la cohomologie étale de la courbe de Fargues-Fontaine
Sebastian Bartling
In this article the étale cohomology of constructible torsion sheaves on the étale site of the algebraic resp. adic Fargues-Fontaine curve is analyzed. In the -torsion…
The universal special formal -module for
Sebastian Bartling
A new proof of an old theorem of Drinfeld concerning the representability of the moduli problem of special formal -modules by Deligne's -adic formal model of Dr…
--displays and local shtuka
Sebastian Bartling
Two approaches to the construction of integral models of local Shimura-varieties are compared: that of Bültel-Pappas using --displays and that of Scholze using loca…