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
In this thesis we address the question of determining the Higgs bundles on a Riemann surface which c...
AbstractFor curves over a p-adic field we construct an equivalence between the category of Higgs-bun...
We study topologically trivial G-Higgs bundles over an elliptic curve X when the structure group G i...
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...
We study the interplay between noncommutative tori and noncommutative elliptic curves through a cate...
Abstract. Text of talk given at the Institut Henri Poincare ́ January 17th 2012, during program on s...
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...
The non-abelian Hodge correspondence is a real analytic map between the moduli space of stable Higgs...
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...
In this thesis we address the question of determining the Higgs bundles on a Riemann surface which c...
In this thesis we address the question of determining the Higgs bundles on a Riemann surface which c...
AbstractFor curves over a p-adic field we construct an equivalence between the category of Higgs-bun...
We study topologically trivial G-Higgs bundles over an elliptic curve X when the structure group G i...
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...
We study the interplay between noncommutative tori and noncommutative elliptic curves through a cate...
Abstract. Text of talk given at the Institut Henri Poincare ́ January 17th 2012, during program on s...
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...
The non-abelian Hodge correspondence is a real analytic map between the moduli space of stable Higgs...
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...
In this thesis we address the question of determining the Higgs bundles on a Riemann surface which c...
In this thesis we address the question of determining the Higgs bundles on a Riemann surface which c...
AbstractFor curves over a p-adic field we construct an equivalence between the category of Higgs-bun...
We study topologically trivial G-Higgs bundles over an elliptic curve X when the structure group G i...