5 papers
-independence for K3-surfaces via -adic integration
Michael Groechenig, Dimitri Wyss, Paul Ziegler
This article provides a proof of a previously unknown case of Toda's -independence conjecture by reduction to non-archimedean local fields. Our strategy is based on a novel com…
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…
Twisted Higgs bundles and coendoscopy
Michael Groechenig, Xuanyou Li, Dimitri Wyss +1
This short note is devoted to the study of -Higgs bundles twisted by a central gerbe. These objects arise naturally in the decomposition of the inertia stacks of -Higgs bundl…
Twisted points of quotient stacks, integration and BPS-invariants
Michael Groechenig, Dimitri Wyss, Paul Ziegler
We study -adic manifolds associated with twisted points of quotient stacks and their quotient spaces . We prove several structural re…
Discriminants and motivic integration
Oscar Kivinen, Alexei Oblomkov, Dimitri Wyss
We study invariants of a plane cuve singularity coming from motivic integration on symmetric powers of a formal deformation of . We show that a natural discriminant inte…