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math.AG2026
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…
math.AG2024
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…
math.AG2022
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…