Mixed Hodge structures and representations of fundamental groups of algebraic varieties

Autor: Louis-Clément Lefèvre

Publikováno v: Advances in Mathematics
Advances in Mathematics, Elsevier, 2019, 349, pp.869-910. ⟨10.1016/j.aim.2019.04.028⟩
IF_PREPUB. 34 pages. 2018

Given a complex variety $X$, a linear algebraic group $G$ and a representation $\rho$ of the fundamental group $\pi\_1(X,x)$ into $G$, we develop a framework for constructing a functorial mixed Hodge structure on the formal local ring of the represen

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f5bb3b00eea42b395db2521c92d0e99
https://hal.archives-ouvertes.fr/hal-01809625/file/Article.pdf

A criterion for quadraticity of a representation of the fundamental group of an algebraic variety

Autor: Louis-Clément Lefèvre

Publikováno v: manuscripta mathematica
manuscripta mathematica, Springer Verlag, 2017, 152 (3-4), pp.381-397. ⟨10.1007/s00229-016-0866-7⟩
manuscripta mathematica, Springer Verlag, 2017, 152 (3), pp.381. 〈10.1007/s00229-016-0866-7〉

Let $\Gamma$ be a finitely presented group and $G$ a linear algebraic group over $\mathbb{R}$. A representation $\rho:\Gamma\rightarrow G(\mathbb{R})$ can be seen as an $\mathbb{R}$-point of the representation variety $\mathfrak{R}(\Gamma, G)$. It is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c50ecb209f5a9d24e3936cc0f93a6fa
https://hal.archives-ouvertes.fr/hal-01196355/document