Past Events

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 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...

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...

Given two elliptic curves, the path finding problem asks to find an isogeny (i.e. a group homomorphism) between them, subject to certain degree restrictions. Path finding has uses in number theory as well as applications to cryptography. For...

We construct a convex body $K$ in $R^n$, $n \ge 5$, with the property that there is exactly one hyperplane $H$ passing through $c(K)$, the centroid of $K$, such that the centroid of $K \cap H$ coincides with $c(K)$. This provides answers to questions...

We will see the definition and some examples of broken toric varieties and balloon animal maps between them. After an overview of some of the many different areas in which they appear, we look at how their geometry can be studied via complexes of...

We consider the Grassmannian G r C ( k , n ) , a manifold parameterized by k -dimensional planes in complex n -dimensional space. The Schubert decomposition of the Grassmannian is perhaps the classic way to split this space into smaller pieces...

Radial projections have been a quickly developing topic in harmonic analysis. The work of Orponen-Shmerkin-Wang connected this topic to a continuum Beck theorem for lines, finding a (lower) bound for the dimension of lines that contain at least two...