Add to ORKGWe exhibit a rigid local system of rank six on the affine line in characteristic p = 5 whose arithmetic and geometric monodromy groups are the finite group 2.J2 (J2 the Hall-Janko sporadic group) in one of its two (Galois-conjugate) irreducible representation of degree six.Ministerio de Economía y Competitividad (MINECO). EspañaEuropean Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER
This second edition addresses the question of which finite groups occur as Galois groups over a give...
AbstractWe classify all Sp4(C)-rigid, quasi-unipotent local systems and show that all of them have g...
We compute the monodromy of the mirabolic Harish-Chandra D-module for all but an explicit codimensio...
We construct a relative mixed motive whose ℓ-adic realizations give rise to Galois representations o...
Rigid local systems classically arise as the solution sheaves of regular singular complex ordinary d...
AbstractWe construct certain rigid local systems on Gm over finite fields, using the theory of Delig...
If in a given rank $r$, there is an irreducible complex local system with torsion determinant and qu...
Let $K$ be a finite unramified extension of $\mathbb{Q}_p$, where $p>2$. [CEGS19] and [EG22] constru...
The Inverse Problem of Galois Theory is discussed. In a specific form, the problem asks whether ever...
We will discuss recent joint work of Nick Katz and the speaker on local systems on the affine line i...
AbstractWe construct examples of linearly rigid tuples which lead to regular Galois realizations ove...
*Research partially supported by INTAS grant 97-1644.Consider the Deligne-Simpson problem: give nece...
AbstractLet G be a profinite group. The purpose of this note is to construct subfieldsFof the field ...
We classified finite orbits of monodromies of the Fuchsian system for five $2\times 2$ matrices. The...
Ideas and techniques from Khare´s and Wintenberger’s preprint on the proof of Serre’s conjecture for...
This second edition addresses the question of which finite groups occur as Galois groups over a give...
AbstractWe classify all Sp4(C)-rigid, quasi-unipotent local systems and show that all of them have g...
We compute the monodromy of the mirabolic Harish-Chandra D-module for all but an explicit codimensio...
We construct a relative mixed motive whose ℓ-adic realizations give rise to Galois representations o...
Rigid local systems classically arise as the solution sheaves of regular singular complex ordinary d...
AbstractWe construct certain rigid local systems on Gm over finite fields, using the theory of Delig...
If in a given rank $r$, there is an irreducible complex local system with torsion determinant and qu...
Let $K$ be a finite unramified extension of $\mathbb{Q}_p$, where $p>2$. [CEGS19] and [EG22] constru...
The Inverse Problem of Galois Theory is discussed. In a specific form, the problem asks whether ever...
We will discuss recent joint work of Nick Katz and the speaker on local systems on the affine line i...
AbstractWe construct examples of linearly rigid tuples which lead to regular Galois realizations ove...
*Research partially supported by INTAS grant 97-1644.Consider the Deligne-Simpson problem: give nece...
AbstractLet G be a profinite group. The purpose of this note is to construct subfieldsFof the field ...
We classified finite orbits of monodromies of the Fuchsian system for five $2\times 2$ matrices. The...
Ideas and techniques from Khare´s and Wintenberger’s preprint on the proof of Serre’s conjecture for...
This second edition addresses the question of which finite groups occur as Galois groups over a give...
AbstractWe classify all Sp4(C)-rigid, quasi-unipotent local systems and show that all of them have g...
We compute the monodromy of the mirabolic Harish-Chandra D-module for all but an explicit codimensio...