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Ce Grand Entretien sera consacré à Alexandre Grothendieck.

Résumé : This paper proves the Coleman conjecture for superelliptic curves: there are, up to isomorphism, at most finitely many superelliptic curves whose Jacobians are CM abelian varieties, as ...

Résumé : Let $\mathcal{X}$ be a projective arithmetic variety of dimension at least $2$. If $\bar{L}$ is an ample hermitian line bundle on $\mathcal{X}$, we prove that the proportion of those ef...

Résumé : Two Kähler metrics on a complex manifold are called c-projectively equivalent if their $J$-planar curves coincide. These curves are defined by the property that the acceleration is comp...

Résumé : In this second article, we continue to study classes of groups constructed from a functorial method due to Vaughan Jones. A key observation of the author shows that these groups admit r...