We establish a correspondence between tame parahoric Higgs torsors and tame logahoric $D_X$-modules on smooth algebraic curves $X$ for an arbitrary complex reductive group. Combined with existing results on the Riemann-Hilbert correspondence for tame meromorphic connections, this gives a full nonabelian Hodge correspondence from Higgs bundles to fundamental group representations over a noncompact curve beyond the $\text{GL}_n(\mathbb{C})$-case
We study Higgs bundles over an elliptic curve with complex reductive structure group, describing the...
This thesis contains two parts. In the first part, we will give the Deligne 1-motives up to isogeny ...
This thesis contains two parts. In the first part, we will give the Deligne 1-motives up to isogeny ...
We establish a correspondence between tame parahoric Higgs torsors and tame logahoric $D_X$-modules ...
In this paper, we consider the wild nonabelian Hodge correspondence for principal $G$-bundles on cur...
Abstract. Text of talk given at the Institut Henri Poincare ́ January 17th 2012, during program on s...
We study the interplay between noncommutative tori and noncommutative elliptic curves through a cate...
The non-abelian Hodge correspondence is a real analytic map between the moduli space of stable Higgs...
We prove an extension of the nonabelian Hodge theorem in which the underlying objects are twisted to...
We prove an extension of the nonabelian Hodge theorem in which the underlying objects are twisted to...
We study parabolic G-Higgs bundles over a compact Riemann surface with fixed punctures, when G is a ...
The non-abelian Hodge correspondence is a real analytic map between the moduli space of stable Higgs...
The non-abelian Hodge correspondence is a real analytic map between the moduli space of stable Higgs...
International audienceThe non-abelian Hodge correspondence is a real analytic map between the moduli...
This thesis contains two parts. In the first part, we will give the Deligne 1-motives up to isogeny ...
We study Higgs bundles over an elliptic curve with complex reductive structure group, describing the...
This thesis contains two parts. In the first part, we will give the Deligne 1-motives up to isogeny ...
This thesis contains two parts. In the first part, we will give the Deligne 1-motives up to isogeny ...
We establish a correspondence between tame parahoric Higgs torsors and tame logahoric $D_X$-modules ...
In this paper, we consider the wild nonabelian Hodge correspondence for principal $G$-bundles on cur...
Abstract. Text of talk given at the Institut Henri Poincare ́ January 17th 2012, during program on s...
We study the interplay between noncommutative tori and noncommutative elliptic curves through a cate...
The non-abelian Hodge correspondence is a real analytic map between the moduli space of stable Higgs...
We prove an extension of the nonabelian Hodge theorem in which the underlying objects are twisted to...
We prove an extension of the nonabelian Hodge theorem in which the underlying objects are twisted to...
We study parabolic G-Higgs bundles over a compact Riemann surface with fixed punctures, when G is a ...
The non-abelian Hodge correspondence is a real analytic map between the moduli space of stable Higgs...
The non-abelian Hodge correspondence is a real analytic map between the moduli space of stable Higgs...
International audienceThe non-abelian Hodge correspondence is a real analytic map between the moduli...
This thesis contains two parts. In the first part, we will give the Deligne 1-motives up to isogeny ...
We study Higgs bundles over an elliptic curve with complex reductive structure group, describing the...
This thesis contains two parts. In the first part, we will give the Deligne 1-motives up to isogeny ...
This thesis contains two parts. In the first part, we will give the Deligne 1-motives up to isogeny ...