3 papers
math.AG2019
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…
math.AG2018
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…
math.AG2017
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…