Poincaré institute

Reinventing rational points

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Campana's orbifolds, points of bounded height and fibrations

Arne Smeets

I will give a gentle introduction to the theory of Campana's orbifold pairs, with an eye towards arithmetic aspects, in particular the study of points of bounded height on such pairs. In particular, I will highlight recent work of Browning-Yamagishi and Pieropan-Tanimoto-Varilly-Alvarado-Smeets on the topic, and I will discuss the relation with the behaviour of rational points in fibrations.