Add to ORKGLet G be a simple complex algebraic group. We prove that the irregularity of the adjoint connection of an irregular flat G-bundle on the formal punctured disk is always greater than or equal to the rank of G. This can be considered as a geometric analogue of a conjecture of Gross and Reeder. We will also show that the irregular connections with minimum adjoint irregularity are precisely the (formal) Frenkel-Gross connections. As a corollary, we establish the de Rham analogue of a conjecture of Heinloth, Nĝo, and Yun for G = SLn
We apply the theory of fundamental strata of Bremer and Sage to find cohomologically rigid G-connect...
In this paper we propose similarity between ramified irregular singularities of meromorphic connecti...
International audienceThe main purpose of this paper is to provide a structure theorem for codimensi...
Let G be a simple complex algebraic group. We prove that the irregularity of the adjoint connection ...
For a simple complex algebraic group $G$, M. Kamgarpour and D. Sage have shown that the adjoint irre...
We show that the irregular connection on G_m constructed by Frenkel and Gross (Ann Math 170–173:1469...
We give an algebraic criterion for the existence of $G$-connections on $\mathbb{P}^{1}$ with prescri...
We prove that any flat G-bundle, where G is a complex connected reductive algebraic group, on the pu...
In the geometric version of the Langlands correspondence, irregular singular point connections play ...
Given an integrable connection on a smooth quasi-projective algebraic surface U over a subfield k of...
The classical additive Deligne-Simpson problem is the existence problem for Fuchsian connections wit...
The classical additive Deligne-Simpson problem is the existence problem for Fuchsian connections wit...
The theory of minimal K-types for p-adic reductive groups was developed in part to classify irreduci...
We apply the theory of fundamental strata of Bremer and Sage to find cohomologically rigid (Formula ...
Abstract : In this thesis, we study three aspects of irregular connections on curves: monodromies, c...
We apply the theory of fundamental strata of Bremer and Sage to find cohomologically rigid G-connect...
In this paper we propose similarity between ramified irregular singularities of meromorphic connecti...
International audienceThe main purpose of this paper is to provide a structure theorem for codimensi...
Let G be a simple complex algebraic group. We prove that the irregularity of the adjoint connection ...
For a simple complex algebraic group $G$, M. Kamgarpour and D. Sage have shown that the adjoint irre...
We show that the irregular connection on G_m constructed by Frenkel and Gross (Ann Math 170–173:1469...
We give an algebraic criterion for the existence of $G$-connections on $\mathbb{P}^{1}$ with prescri...
We prove that any flat G-bundle, where G is a complex connected reductive algebraic group, on the pu...
In the geometric version of the Langlands correspondence, irregular singular point connections play ...
Given an integrable connection on a smooth quasi-projective algebraic surface U over a subfield k of...
The classical additive Deligne-Simpson problem is the existence problem for Fuchsian connections wit...
The classical additive Deligne-Simpson problem is the existence problem for Fuchsian connections wit...
The theory of minimal K-types for p-adic reductive groups was developed in part to classify irreduci...
We apply the theory of fundamental strata of Bremer and Sage to find cohomologically rigid (Formula ...
Abstract : In this thesis, we study three aspects of irregular connections on curves: monodromies, c...
We apply the theory of fundamental strata of Bremer and Sage to find cohomologically rigid G-connect...
In this paper we propose similarity between ramified irregular singularities of meromorphic connecti...
International audienceThe main purpose of this paper is to provide a structure theorem for codimensi...