Previous Conferences & Workshops

Excited random walk is a process on Z^d which behaves like a regular balanced random walk when it reaches a vertex it already visited, but when it reaches a new vertex it has a drift to the right. We shall review a number of new results about this...

Counting homomorphisms between graphs has a surprising number of applications. Many models in statistical mechanics and many questions in extremal graph theory can be phrased in these terms. We introduce a matrix, which we call the connection matrix...

I will talk about some recent joint work with Carlos Kenig on a certain type of uniqueness property for solutions of nonlinear Schrödinger equations on $R^d\times R$.

(Joint work with Richard Thomas) I will discuss K-stability and its relation to constant scalar curvature metrics. This leads to a notion of slope stability for manifolds in terms of its subschemes, which gives an obstruction to finding constant...

In this talk, we will discuss additional details of the `SL=L' result, not covered by the first talk. We will focus, however, on the possibility of extending our techniques towards resolving the general RL vs. L question. In this direction we obtain...