Past Events

I will report on joint work with E. Macri on the space of stability conditions for the derived category of the total space of the canonical bundle on the projective plane. It is a 3–dimensional manifold, with many chamber decompositions coming from...

Motivated by basic questions from robotics and molecular biology, we consider certain configuration spaces, and some associated maps to two dimensional Euclidian space. We are able to understand the singular sets for a natural subset of these maps...

Cluster expansions give convergent expressions for measures on infinite dimensional spaces, such as those that occur in statistical mechanics. One approach to these convergence questions is via fixed points for infinite dimensional increasing...

We derive a general Hardy inequality and show most Hardy inequalities can be seen as special cases of this inequality. In addition we characterize the improvements of this inequality and (time permitting) we show an application of this inequality to...

A one-face map is a graph embedded in a compact surface, in such a way that its complement is a topological disk. Dually, it can be viewed as a polygon of even size, in which edges have been pasted pairwise to create a surface. These objects have...

We present a new algorithm for the evaluation of the periodized Green's function for Helmholtz equation in two and three dimensions. A variety of classical algorithms (based on spatial and spectral representations, Ewald transformation, etc.) have...

The emergence of novel infectious diseases has become a major public health concern, with zoonotic diseases such as avian and swine flu providing prominent examples. Although initially poorly adapted to their new host, such pathogens have the...

Goresky and MacPherson observed that certain pairs of algebraic varieties with torus actions have equivariant cohomology rings that are "dual" in a sense that I will define. Examples of such pairs come up naturally in both representation theory and...

I will speak on certain kinetic and macroscopic models of traffic flow. After a review of the concept of a fundamental diagram the high-density regime will be considered, and the emergence of macroscopic models with nolocalities will be discussed...

In animal cells, a "bleb" is a balloon-like protrusion of the plasma membrane that forms when the membrane separates from the underlying cytoskeletal network and is pushed outward by pressure-driven cytosol. The protrusion later retracts due to the...