6 papers · 1 filter
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…
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…
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 res…
Motivic Integration on the Hitchin Fibration
François Loeser, Dimitri Wyss
We prove that the moduli spaces of twisted and -Higgs bundles on a smooth projective curve have the same (stringy) class in the Grothendieck ring of…
Geometric stabilisation via p-adic integration
Michael Groechenig, Dimitri Wyss, Paul Ziegler
In this article we give a new proof of Ngô's Geometric Stabilisation Theorem, which implies the Fundamental Lemma. This is a statement which relates the cohomology of Hitchin fibre…
Motivic and -adic Localization Phenomena
Dimitri Wyss
In this thesis we compute motivic classes of hypertoric varieties, Nakajima quiver varieties and open de Rham spaces in a certain localization of the Grothendieck ring of varieties…