Mahmood Alaghmandan, Department of Pure Mathematics, University of Waterloo
“Compact Groups”
Compact groups are considered the most tractable class of examples in non-commutative harmonic analysis. For example, there is a nice representation theory of compact groups which is a natural generalization of the character theory of finite groups. In this series of seminars we will see applications of this theory to algebras defined over the compact groups, such as the (convolution) group algebra, Fourier, and Beurling-Fourier algebras, and their central subalgebras. We hope to eventually attack some long-standing conjectures regarding amenability of central group and Fourier algebras.