Previous Conferences & Workshops

I discuss a renormalization group method to derive diffusion from time reversible quantum or classical microscopic dynamics. I start with the problem of return to equilibrium and derivation of Brownian motion for a quantum particle interacting with...

The most common question I get from people outside my field is "what is category theory good for? does it actually help solve problems?" The very very short answer is "yes"; in this talk, I will give a slightly longer answer by explaining some of...

The quantum random energy model is a random matrix of Schroedinger type: a Laplacian on the hypercube plus a random potential. It features in various contexts from mathematical biology to quantum information theory as well as an effective...

Classical matrix perturbation bounds, such as Weyl (for eigenvalues) and David-Kahan (for eigenvectors) have, for a long time, been playing an important role in various areas: numerical analysis, combinatorics, theoretical computer science...

We discuss the classical and non-commutative geometry of wire systems which are the complement of triply periodic surfaces. We consider a \(C^*\)-geometry that models their electronic properties. In the presence of an ambient magnetic field, the...

Let \(K\) and \(T\) be convex bodies in the \(n\)-dimensional Euclidean space. The covering number of \(K\) by \(T\) is the minimal number of translates of \(T\) required to cover \(K\) entirely. One open question regarding this classical notion is...

We consider the problem of defining cylindrical contact homology, in the absence of contractible Reeb orbits, using "classical" methods. The main technical difficulty is failure of transversality of multiply covered cylinders. One can fix this...

I will begin with a brief introduction to the deformation theory of Galois representations and its role in modularity lifting. This will motivate the study of local deformation rings and more specifically flat deformation rings. I will then discuss...