Cremona group and CAT(0) cube complexes

Abstract: The Cremona group is the group of birational transformations of the projective plane, namely isomorphisms between two dense open subsets. This group acts on a CAT(0) cube complex that we constructed with Urech. After an introduction on Cremona group and CAT(0) cube complexes, I will focus on fixed-point property for actions on CAT(0) cube complexes and explain how it is related to an open question for the Cremona group.

algebraic topologyfunctional analysisgroup theorygeometric topologyoperator algebras

Audience: researchers in the topic

Vienna Geometry and Analysis on Groups Seminar