Encoding Fourier multipliers in matrix algebras Fourier multipliers are among the most important operators in analysis. They act on a given function $f$ by pointwise multiplication of its Fourier transform with a fixed function $f (m f pt )^$. This action can be vastly extended using more general notions of Fourier transform via group representation theory. In this talk, we […]

Bi-Lipschitz embeddings and optimal partial transport A bi-Lipschitz embedding of a metric space X into another, Y, preserves relative distances between points, up to a multiplicative error. Usually, one seeks a bi-Lipschitz embedding when X is a metric space of interest, and Y has good geometric properties, since the embedding allows X to inherit these properties. A classical example is […]

Dr. Jan Sbierski (University of Edinburgh)

The Torelli group: a quick tour In this talk we will give a gentle introduction to the Torelli group of a surface.  The talk will survey some of its algebraic properties as well as its connection with low-dimensional topology.    Along the way we will highlight some seminal work of Joan Birman and Dennis Johnson, among others. Note: due to technical issues, […]

Maths’ Greatest Unsolved Puzzles While mathematicians are undoubtedly brilliant, and their work is used in all kinds of amazing scientific and technological discoveries, there are still questions they can’t answer. Every mathematical question is a puzzle to be solved, and while there’ll be plenty of puzzles for you to chew on, we’ll also discuss some of the questions that still […]