Previous Conferences & Workshops

I describe recent results on spiked covariance matrices, which model multivariate data containing nontrivial correlations. In principal components analysis, one extracts the leading contribution to the covariance by analysing the top eigenvalues and...

Most of the cryptosystems we currently use are highly secure, and cannot be broken with reasonable complexity by mathematical cryptanalysis. However, over the last fifteen years researchers have developed many types of physical attacks on their...

This will be an informal session in which we will try to answer questions from the audience on topics around KPZ.

Feynman categories are a new universal categorical framework for generalizing operads, modular operads and twisted modular operads. The latter two appear prominently in Gromov-Witten theory and in string field theory respectively. Feynman categories...

The \(p\)-adic local Langlands correspondence is well understood for \(\mathrm{GL}_2(\mathbb Q_p)\), but appears much more complicated when considering \(\mathrm{GL}_n(F)\), where either \(n>2\) or \(F\) is a finite extension of \(\mathbb Q_p\). I...

We discuss two random decreasing sequences of continuous functions in two variables, and how they arise as the scaling limit from corners of a (real / complex) Wigner matrix undergoing stochastic evolution. The restriction of the second one to...

Picard-Lefschetz theory studies algebraic varieties by induction on their dimension. It can be used to determine their topology, and in more modern terms their symplectic geometry. We will apply this theory to describe extra structure which appears...