Past Events

The classical Peierls argument establishes that percolation on a graph G has a non-trivial (uniformly) percolating phase if G has “not too many small cutsets”. Severo, Tassion, and I have recently proved the converse. Our argument is inspired by an...

Subconvexity problems have maintained extreme interest in analytic number theory for decades. Critical barriers such as the convexity, Burgess, and Weyl bounds hold particular interest because one usually needs to drastically adjust the analytic...

A Kazhdan-Lusztig variety is the intersection of a Schubert variety with an affine cell in a flag manifold. Therefore, one can obtain local equations for Schubert varieties by using coordinates on the affine cell. Building on the work of Fulton and...

The Twenty Fourth Northwest Probability Seminar is a mini-conference held at the University of Washington and organized with the support of the University of Oregon, Oregon State University, Pacific Institute for the Mathematical Sciences (PIMS)...

The Cascadia Combinatorial Feast (formerly known as the Combinatorial Potlatch) is an annual, floating, one-day conference. It has been held for many years at various locations around Puget Sound and southern British Columbia, and is an opportunity...

Informally speaking, sampling discretization studies how well one can replace the computa- tion of integral L p norms for a given class of functions by the evaluation of these functions at a fixed small set of points. On the one hand, such problems...

The Vlasov-Poisson system is a non-linear PDE describing the mean-field time-evolution of particles forming a plasma or a galaxy. In this talk I will present uniqueness criteria for the Vlasov-Poisson equation in the classical and semi-relativistic...

There is a well-developed theory of Sobolev spaces on metric measure spaces, stemming from the seminal works of Cheeger and Shanmugalingam in the 1990s. However, this notion does not lead to a suitable space for fractals. We develop an alternate...

Joint work with Punya Satpathy For a reductive group G, Borel and Serre introduced a compactification of a large class of arithmetic quotients of the symmetric space attached to G. After reviewing some aspects of their construction, we explain how to...

Let M be a Hermitian matrix associated to a graph X on n vertices. For any time t \geq 0, the transition matrix of the continuous quantum walk on X relative to M at time t is given by U(t)=exp(itM). For two vertices a and b of X, if there is some...