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pro vyhledávání: '"Wyss, Dimitri"'
We study $p$-adic manifolds associated with twisted points of quotient stacks $\mathcal{X} = [U/G]$ and their quotient spaces $\pi:\mathcal{X} \to X$. We prove several structural results about the fibres of $\pi$ and derive in particular a formula ex
Externí odkaz:
http://arxiv.org/abs/2409.17358
In this paper we prove motivic versions of the Langlands-Shelstad Fundamental Lemma and Ng\^o's Geometric Stabilization. To achieve this, we follow the strategy from the recent proof by Groechenig, Wyss and Ziegler which avoided the use of perverse s
Externí odkaz:
http://arxiv.org/abs/2308.12195
We define $p$-adic BPS or $p$BPS-invariants for moduli spaces $M_{\beta,\chi}$ of 1-dimensional sheaves on del Pezzo surfaces by means of integration over a non-archimedean local field $F$ . Our definition relies on a canonical measure $\mu_{can}$ on
Externí odkaz:
http://arxiv.org/abs/2112.12103
Autor:
Loeser, François, Wyss, Dimitri
Publikováno v:
Algebraic Geometry 8, 196-230 (2021)
We prove that the moduli spaces of twisted $\mathrm{SL}_n$ and $\mathrm{PGL}_n$-Higgs bundles on a smooth projective curve have the same (stringy) class in the Grothendieck ring of rational Chow motives. On the level of Hodge numbers this was conject
Externí odkaz:
http://arxiv.org/abs/1912.11638
In this article we give a new proof of Ng\^o's Geometric Stabilisation Theorem, which implies the Fundamental Lemma. This is a statement which relates the cohomology of Hitchin fibres for a quasi-split reductive group scheme $G$ to the cohomology of
Externí odkaz:
http://arxiv.org/abs/1810.06739
In this paper we determine the motivic class--in particular, the weight polynomial and conjecturally the Poincar\'e polynomial--of the open de Rham space, defined and studied by Boalch, of certain moduli spaces of irregular meromorphic connections on
Externí odkaz:
http://arxiv.org/abs/1807.04057
Autor:
Wyss, Dimitri
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. Furthermore we study the $p$-adic pushforward of the Haar measure un
Externí odkaz:
http://arxiv.org/abs/1709.06769
We prove the Topological Mirror Symmetry Conjecture by Hausel-Thaddeus for smooth moduli spaces of Higgs bundles of type $\operatorname{SL}_n$ and $\operatorname{PGL}_n$. More precisely, we establish an equality of stringy Hodge numbers for certain p
Externí odkaz:
http://arxiv.org/abs/1707.06417
Akademický článek
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Autor:
Wyss, Dimitri
We prove, that Hausel's formula for the number of rational points of a Nakajima quiver variety over a finite field also holds in a suitable localization of the Grothendieck ring of varieties. In order to generalize the arithmetic harmonic analysis in
Externí odkaz:
http://arxiv.org/abs/1603.03200