## Some remarks on the component group of the Sato-Tate group – Victoria Cantoral Farfán (Georg-August-Universität Göttingen)

The famous Sato-Tate conjecture for elliptic curves defined over a number field (without complex multiplication) predicts the equidistribution of Frobenius…

## The degree of Kummer extensions of number fields – Flavio Perissinotto (University of Luxembourg)

Under the Generalized Riemann Hypothesis, densities of prime ideals of a number field $K$ for which a given subgroup $G$…

## Explicit integral Galois module structure of weakly ramified extensions of local fields – Henri Johnston (Univiesity of Exeter)

Let $L/K$ be a finite Galois extension of complete local fields with finite residue fields and let $G={\rm Gal}(L/K)$. Let $G_{1}$ and $G_{2}$ be the first and second ramification groups. Thus $L/K$ is tamely ramified when $G_{1}$ is trivial and we…

## Divisibility questions in commutative algebraic groups – Laura Paladino (Università di Pisa)

Venue Sala Seminari (Dip. Matematica). Abstract…

## On the local-global divisibility and the Tate-Shafarevich group – Gabriele Ranieri (Pontificia Universidad Catolica Valparaiso)

On the local-global divisibility and the Tate-Shafarevich group. Abstract: Let k be a global field and let A be a commutative algebraic group defined over k. Consider the following question : Problem. Let P be in A(k) and let q be a positive…

## Contare punti di altezza limitata – Fabrizio Barroero (SNS di Pisa)

L’altezza di Weil è una funzione che misura la complessità aritmetica di un numero algebrico. Un famoso teorema, dovuto a Northcott, assicura la finitezza degli insiemi di vettori di numeri algebrici di grado e altezza uniformemente limitati. E’…

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