Obstructions to matrix stability of discrete groups

Abstract: A discrete countable group is matricially stable if its finite dimensional approximate unitary representations are perturbable to genuine representations in the point-norm topology. We aim to explain in accessible terms why matricial stability for a group G implies the vanishing of the rational even cohomology of G for large classes of groups, including the linear groups.

mathematical physicsalgebraic geometryalgebraic topologyK-theory and homologyoperator algebrasquantum algebrarepresentation theory

Audience: researchers in the topic

Online GAPT Seminar

Series comments: Description: Seminar of the GAPT group at Cardiff University