Séminaire Kervaire: Cremona Transformations and Birational Geometry (mini-cours)

5-9 septembre 2016

Alberto Calabri, Ferrara Serge Cantat, Rennes Igor Dolgachev, Ann Arbor Stéphane Lamy, Toulouse Yuri Prokhorov, Moscow

A Cremona transformation is a birational transformation of the plane (or more generally of the n-dimensional space). It corresponds to a map given by rational functions that admits an inverse of the same type. These maps have been a subject of study since centuries: the first appearance are in the ancient Greek: inversions and Moebius transformations. The subject has then been really much developped by the italian school in the nineteenth century and then never ceased to interest mathematicians until now. It has also many applications and relations with other topics of mathematics, like number theory, group theory , dynamical systems or hyperbolic geometry. The aim of this conference is to bring together a maximum of people having worked on this during the last decade, and to let young people discover it. Une deuxième semaine (12-16 septembre 2016, hors présent budget) sera consacrée à des exposés de haut niveau.

Université de Bâle

50