Add to ORKGWe prove that any flat G-bundle, where G is a complex connected reductive algebraic group, on the punctured disc admits the structure of an oper. This result is important in the local geometric Langlands correspondence proposed in {FG}. Our proof uses certain deformations of the affine Springer fibers which could be of independent interest. As a byproduct, we construct representations of affine Weyl groups on the homology of these deformations generalizing representations constructed by Lusztig
Let G be a complex, connected semi-simple Lie group, L G its Langlands dual group, BunG the moduli ...
A module over an affine Kac–Moody algebra $\hat{g}$ is called spherical if the action of the Lie sub...
Let D be a simply laced Dynkin diagram of rank r whose affinization has the shape of a star (i.e., D...
We prove that any flat G-bundle, where G is a complex connected reductive algebraic group, on the pu...
Let G be a simple complex algebraic group. We prove that the irregularity of the adjoint connection ...
Let G be a simple complex algebraic group. We prove that the irregularity of the adjoint connection ...
Let $G$ be a reductive group and $X$ a smooth projective curve. We prove that, for $G$ classical and...
The theory of minimal K-types for p-adic reductive groups was developed in part to classify irreduci...
The pull back of a flat bundle E→X along the evaluation map π:LX→X from the free loop space LX to X ...
We show that the irregular connection on G_m constructed by Frenkel and Gross (Ann Math 170–173:1469...
Let G be a simple algebraic group defined over C and T be a maximal torus of G. For a dominant cowei...
We generalize the classical Satake equivalence as follows. Let k be an algebraically closed field, s...
AbstractLet G be a simple algebraic group defined over C and T be a maximal torus of G. For a domina...
International audienceFirst an `irregular Riemann-Hilbert correspondence' is established for meromor...
Let G^v be a complex simple algebraic group. We describe certain morphisms of G^v (O)-equivariant c...
Let G be a complex, connected semi-simple Lie group, L G its Langlands dual group, BunG the moduli ...
A module over an affine Kac–Moody algebra $\hat{g}$ is called spherical if the action of the Lie sub...
Let D be a simply laced Dynkin diagram of rank r whose affinization has the shape of a star (i.e., D...
We prove that any flat G-bundle, where G is a complex connected reductive algebraic group, on the pu...
Let G be a simple complex algebraic group. We prove that the irregularity of the adjoint connection ...
Let G be a simple complex algebraic group. We prove that the irregularity of the adjoint connection ...
Let $G$ be a reductive group and $X$ a smooth projective curve. We prove that, for $G$ classical and...
The theory of minimal K-types for p-adic reductive groups was developed in part to classify irreduci...
The pull back of a flat bundle E→X along the evaluation map π:LX→X from the free loop space LX to X ...
We show that the irregular connection on G_m constructed by Frenkel and Gross (Ann Math 170–173:1469...
Let G be a simple algebraic group defined over C and T be a maximal torus of G. For a dominant cowei...
We generalize the classical Satake equivalence as follows. Let k be an algebraically closed field, s...
AbstractLet G be a simple algebraic group defined over C and T be a maximal torus of G. For a domina...
International audienceFirst an `irregular Riemann-Hilbert correspondence' is established for meromor...
Let G^v be a complex simple algebraic group. We describe certain morphisms of G^v (O)-equivariant c...
Let G be a complex, connected semi-simple Lie group, L G its Langlands dual group, BunG the moduli ...
A module over an affine Kac–Moody algebra $\hat{g}$ is called spherical if the action of the Lie sub...
Let D be a simply laced Dynkin diagram of rank r whose affinization has the shape of a star (i.e., D...