Analysis seminar

Mahmood Alaghmandan, Pure Mathematics, University of Waterloo

"Amenability properties of  Hypergroups"

A hypergroup is a locally compact Hausdorff space equipped with a convolution product which maps any two points to a probability measure with a compact support. Hypergroups generalize locally compact groups in which the above convolution reduces to a point mass measure.

In this talk, after discussing the definition of hypergroups and introducing algebras constructed on them, we study their different amenability properties. We specifically consider these notions for some classes of hypergroups related to locally compact groups. Subsequently, we demonstrate some applications to locally compact groups and their Banach algebras.