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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.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…