Actions of Cremona groups on CAT(0) cube complexes (Christian Urech, EPFL)

19.10.2021 10:30

The Cremona group of rank n is the group of birational transformations of the projective n-space. Cremona groups have been studied for around 150 years and attracted a lot of attention in the last decades due to their rich group theoretical and dynamical properties. In this talk, I will first give a short introduction to Cremona groups (no prior knowledge of algebraic geometry is assumed!). In a second step, I will present a natural construction of a CAT(0) cube complex on which the Cremona group of rank 2 acts by isometries, and explain how we can deduce old and new results from this action. This is joint work with Anne Lonjou.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Séminaire Groupes et Géométrie

entrée libre