S. Bartling

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20222026

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math.NT2026

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…

math.NT2022

The universal special formal $O_{D}$ -module for $d = 2$

Sebastian Bartling

A new proof of an old theorem of Drinfeld concerning the representability of the moduli problem of special formal $O_{D}$ -modules by Deligne's $p$ -adic formal model of Dr…

math.NT2022

$G$ - $μ$ -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 $G$ - $μ$ -displays and that of Scholze using loca…

Close fields, affine Springer fibers and fundamental lemmas

The universal special formal OD​-module for d=2

G-μ-displays and local shtuka

The universal special formal $O_{D}$ -module for $d = 2$

$G$ - $μ$ -displays and local shtuka