Conjecture de l’inertie modérée de Serre

Conjecture de type de Serre et formes compagnons pour GSp4

We present a Serre-type conjecture on the modularity of four-dimensional symplectic mod p Galois representations. We assume that the Galois representation is irreducible and odd (in the symplectic sense). The modularity condition is formulated using the étale and the algebraic de Rham cohomology of Siegel modular varieties of level prime to p. We concentrate on the case when the Galois represen...

Le problème de la synchronisation et la conjecture de Černý

Noi diamo una panoramica sul seguende problema (detto il problema della sincronizzazione). Sia A = (Q, X) un automa finito. Ogni parola m in X∗ definisce una funzione da Q in Q ; il rango di m in A è l’intero Card{qm | q ∈ Q}. Una parola di rango 1 associa a tutti gli stati un unico stato ed è detta una parola sincronizzante (se una tale parola esiste l’automa stesso è detto “sincronizzante”). ...

Sur un Cas Particulier de la Conjecture de Cerny

Let A be a finite automaton. We are concerned with the minimal length of the words that send all states on a unique state (synchronizing words). J. Černý has conjectured that, if there exists a synchronizing word in A, then there exists such a word with length 6 (n − 1) where n is the number of states of A. As a generalization, we conjecture that, if there exists a word of rank 6 k in A, there ...

Vaccination antirougeoleuse: Etude de l'immunité humorale chez les enfants Vaccinés de la région de Tunis

Parasites du sang de divers animaux de la region de Tehran