Benjamin Anderson-Sackaney, Department of Pure Mathematics, University of Waterloo
"Multipliers on Fourier Algebras"
We will give a brief introduction to multipliers on the Fourier algebra of a locally compact group. Then we will discuss weak amenability, which is a weakening of amenability from the perspective of Leptin's theorem. It was shown by Haagerup that, though free groups are non-amenable, they are weakly amenable. The finale will proceed by outlining a proof of this theorem.