Automorphism Groups of Algebraic Function Fields.
Automorphism Groups of Algebraic Number Fields.
Automorphism groups of Ree type Deligne-Lusztig curves and function fields.
Automorphism groups of Shimura varieties.
Automorphism groups of the modular curves
Automorphismes de courbes modulaires
Automorphismes des corps locaux de caractéristique .
Nous donnons une preuve que tout automorphisme sauvagement ramifié d’un corps de séries formelles à une variable et à coefficients dans un corps parfait de caractéristique provient de la construction du corps des normes d’une -extension totalement ramifiée d’un corps local de caractéristique ou .
Automorphisms of a Finite P-Group
Automorphisms of products of Witt rings of local type
Automorphisms of Witt rings of global fields
We construct an uncountable set of strong automorphisms of the Witt ring of a global field.
Automorphisms with exotic orbit growth
The dynamical Mertens' theorem describes asymptotics for the growth in the number of closed orbits in a dynamical system. We construct families of ergodic automorphisms of fixed entropy on compact connected groups with a continuum of growth rates on two different growth scales. This shows in particular that the space of all ergodic algebraic dynamical systems modulo the equivalence of shared orbit-growth asymptotics is not countable. In contrast, for the equivalence relation of measurable isomorphism...
Automorphy for some l-adic lifts of automorphic mod l Galois representations. II
We extend the results of [CHT] by removing the ‘minimal ramification’ condition on the lifts. That is we establish the automorphy of suitable conjugate self-dual, regular (de Rham with distinct Hodge–Tate numbers), l-adic lifts of certain automorphic mod l Galois representations of any dimension. The main innovation is a new approach to the automorphy of non-minimal lifts which is closer in spirit to the methods of [TW] than to those of [W], which relied on Ihara’s lemma.
Automorphy for some l-adic lifts of automorphic mod l Galois representations
We extend the methods of Wiles and of Taylor and Wiles from GL2 to higher rank unitary groups and establish the automorphy of suitable conjugate self-dual, regular (de Rham with distinct Hodge–Tate numbers), minimally ramified, l-adic lifts of certain automorphic mod l Galois representations of any dimension. We also make a conjecture about the structure of mod l automorphic forms on definite unitary groups, which would generalise a lemma of Ihara for GL2. Following Wiles’ method we show that this...
Autour de la conjecture de Sato-Tate pour les sommes de Kloosterman I.
Autour de la conjecture de Zilber-Pink
Nous dressons un rapide panorama de résultats allant dans le sens de la conjecture suivante : l’intersection d’une sous-variété d’une variété semi-abélienne et de l’union de tous les sous-groupes algébriques de de codimension au moins n’est pas Zariski-dense dans dès que n’est pas contenue dans un sous-groupe algébrique strict de .
Autour du théorème de Bombieri-Vinogradov. II
Autour d'un théorème de Stein.
Auxiliary polynomials for some problems regarding Mahler's measure
Average distributions and products of special values of L-series
Average Frobenius distribution of elliptic curves