Action of the Cremona group on a CAT(0) cube complex

Orateur:	Anne Lonjou
Localisation:
Type:	Colloque de Géométrie
Site:	UPEC
Salle:	Salle P1 021
Date de début:	20/12/2024 - 11:20
Date de fin:	20/12/2024 - 12:10

The Cremona group is the group of birational transformations (isomorphisms between open dense subsets) of the projective space. Even if this group comes from algebraic geometry, tools from geometric group theory have been powerful to study this group.

After introducing this group and CAT(0) cube complexes, we will build a natural action of the Cremona group on these complexes. We will then discuss about the results that can be obtained from this action.