This report presents my work on the geometric Langlands program. The following directions of this program are considered: local and global Rankin-Selberg method, Whittaker and Bessel functors for GSp_4, categorification and geometric version of multiplicity one for Bessel models, Theta sheaves and geometric Langlands program for the metaplectic group, geometric Howe correspondence.Ce rapport présente mes travaux dans la direction du programme de Langlands géométrique. Ceux-ci abordent plusieurs aspects de ce thème: méthode de Rankin-Selberg locale et globale, les foncteurs de Whittaker et de Bessel pour GSp_4, catégorification et la version géométrique de la multiplicité un pour les models de Bessel, les faisceaux Théta et programme de Lang...
In the first of my three lectures I plan to present a review of the approach of Beilinson and Drinfe...
CIRM Jean-Morlet Chair, Spring 2016, Lecture notes from the workshops held in Marseille, CIRM Jean-M...
Les résultats de cette thèse s'inscrivent dans le cadre du programme de Langlands p-adique. Lorsque ...
38 pages, LaTeX2eWe propose a geometric interpretation of the classical Rankin-Selberg method for GL...
I this paper, which is a sequel to [5], we study Bessel models of representations of GSp_4 over a lo...
Abstract. We propose a geometric interpretation of the classical Rankin-Selberg method for GL(n) in ...
The theory of Whittaker functors for GL_n is an essential technical tools in Gaitsgory's proof of th...
Cette thèse traite de deux problèmes dans le cadre du programme de Langlands. Pour le premier problè...
[eng] The Langlands program is a vast and unifying network of conjectures that connect the world of ...
A co-publication of the AMS and Clay Mathematics Institute. This volume constitutes the proceedi...
In this ARGOS we want to study the paper [VL] by V. La orgue where he proves the global Langlands co...
The Geometric Langlands Conjecture (GLC) for a curve \(C\) and a group \(G\) is a non-abelian genera...
R.Langlands conjectured the existence of a bridge between two parts of number theory. This correspon...
We outline a proof of the categorical geometric Langlands conjecture for GL_2, as formulated in ``Si...
This volume presents a panorama of the diverse activities organized by V. Heiermann and D. Prasad in...
In the first of my three lectures I plan to present a review of the approach of Beilinson and Drinfe...
CIRM Jean-Morlet Chair, Spring 2016, Lecture notes from the workshops held in Marseille, CIRM Jean-M...
Les résultats de cette thèse s'inscrivent dans le cadre du programme de Langlands p-adique. Lorsque ...
38 pages, LaTeX2eWe propose a geometric interpretation of the classical Rankin-Selberg method for GL...
I this paper, which is a sequel to [5], we study Bessel models of representations of GSp_4 over a lo...
Abstract. We propose a geometric interpretation of the classical Rankin-Selberg method for GL(n) in ...
The theory of Whittaker functors for GL_n is an essential technical tools in Gaitsgory's proof of th...
Cette thèse traite de deux problèmes dans le cadre du programme de Langlands. Pour le premier problè...
[eng] The Langlands program is a vast and unifying network of conjectures that connect the world of ...
A co-publication of the AMS and Clay Mathematics Institute. This volume constitutes the proceedi...
In this ARGOS we want to study the paper [VL] by V. La orgue where he proves the global Langlands co...
The Geometric Langlands Conjecture (GLC) for a curve \(C\) and a group \(G\) is a non-abelian genera...
R.Langlands conjectured the existence of a bridge between two parts of number theory. This correspon...
We outline a proof of the categorical geometric Langlands conjecture for GL_2, as formulated in ``Si...
This volume presents a panorama of the diverse activities organized by V. Heiermann and D. Prasad in...
In the first of my three lectures I plan to present a review of the approach of Beilinson and Drinfe...
CIRM Jean-Morlet Chair, Spring 2016, Lecture notes from the workshops held in Marseille, CIRM Jean-M...
Les résultats de cette thèse s'inscrivent dans le cadre du programme de Langlands p-adique. Lorsque ...