2 papers
math.AG2026
Nash structure of curves over a valued field and tame henselian rationality
Antoine Ducros, François Loeser
We provide a new proof, model-theoretic and geometric in nature, of the tame henselian rationality theorem of Kuhlmann. The proof takes place within the framework of stable complet…
math.AG2026
A motivic Fundamental Lemma
Arthur Forey, François Loeser, François Loeser +1
In this paper we prove motivic versions of the Langlands-Shelstad Fundamental Lemma and Ngô's Geometric Stabilization. To achieve this, we follow the strategy from the recent proof…