2 papers
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.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…