Previous Conferences & Workshops

We describe a method of Selberg for constructing fundamental domains for discrete groups of \(\mathrm{SL}(n,\mathbb R)\) in terms of trace inequalities. We show how these Selberg domains can be used to play ping-pong, establishing freeness of some...

In several naturally occurring (infinite) point processes, we show that the number (and other statistical properties) of the points inside a finite domain are determined, almost surely, by the point configuration outside the domain. This curious...

I will describe the general ideas behind exponential asymptotic methods, their recent developments, and a number of open problems that were solved in the last few years using them, such as the behavior of Hydrogen atoms in time periodic fields and...

After a short introduction to some ideas on quantum probability theory I discuss the roles played by loss of information and entanglement in the emergence of facts in quantum-mechanical experiments and observations. Besides explaining why...

Expanders are highly connected sparse graphs. Simplicial complexes are a natural generalization of graphs to higher dimension, and the notions of connectedness and expansion turn out to have interesting analogues, which relate to the homology and...

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.