Previous Conferences & Workshops

First, I will discuss a proof that a Lagrangian torus in \(\mathbb{CP}^2\) arising from a semitoric system described by Weiwei Wu coincides with the image in \(\mathbb{CP}^2\) of Chekanov's exotic Lagrangian torus in \(\mathbb R^4\). I will then...

Let \(R={\cal O}_{{\bf C},0}\) be the ring of power series convergent in a neighborhood of zero in the complex plane. Every scheme \(\cal X\) of finite type over \(R\) defines a complex analytic space \({\cal X}^h\) over an open disc \(D\) of small...

The stochastic Burgers equation (equivalent to the one-dimensional KPZ equation) is a hyperbolic conservation law with random currents. In applications, one often has to deal with several conservation laws, a little explored case. We discuss several...

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...