**abstract:**
The notion of a moderate point may be regarded, from the point of view
of Galois sections, as an analogue for a hyperbolic curve of the notion
of a torsion point of an abelian variety. The study of the notion
corresponding to a moderate point of a hyperbolic curve was initiated
by Makoto Matsumoto. Matsumoto proved that there are infinitely many
hyperbolic curves over number fields which have no moderate rational
points. In this talk, I discuss the following two topics concerning
moderate points: (1) The relationship between the moderate points of
a hyperbolic curve and the kernel of the pro-l outer Galois action
associated to the hyperbolic curve (2) The finiteness of the moderate
rational points of a once-punctured elliptic curve over a number field

Thu 19 Dec, 16:30 - 17:30, Aula Dini

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