Past Events

Recent results proposed a systematic use of conservation laws models on networks for urban vehicular traffic. We first describe modelling issues and relative analysis. Then we discuss numerics and challenges raising in real cases, addressing...

Let X be a (smooth, projective) rational surface, with an ample line bundle H. We consider the moduli spaces M_n of H-stable rank 2 torsion- free sheaves on X with second Chern class n. For a line bundle L on X there is an associated line bundle L_n...

Every knot can be embedded in the union of finitely many half planes with acommon boundary line in such a way that the portion of the knot in each half plane is a properly embedded arc. The minimal number of such half planes is called the arc index...

Synchronization of heterogeneous systems consisted of oscillatory and passive elements are studied in cardiac myocytes (CM)/fibroblasts (FB) co-cultures. It is found that beating clusters of CM surrounded by FB will be formed. The beatings of the CM...

This talk will be in two parts. The first will give an idea of what computations are possible with L-functions, and what uses they have. The second part will give more explicit details for some of the work being done under a Focused Research Group...

A Diophantine m-tuple is a set of positive integers such that the product of any two distinct elements, increased by 1, is a perfect square. We will derive an asymptotic formula which counts the number of Diophantine quadruples with elements bounded...

I will consider a random walk in random environment obtained by putting iid bond weights $\mu_e$ on the bonds in the lattice $Z^d$.(Here $d\ge 3$). We assume $\mu_e \ge 1$, but have heavy tails: $P(\mu_e > t) \sim t^{-\alpha}$ with $\alpha \in (0,1)$...

We consider the problem of colouring the planar map given by the Voronoi tessellation corresponding to a Poisson process in R^2. We seek deterministic colouring rules that are independent of the coordinate system (formally: isometry covariant and are...

We present and investigate models for solid tumor growth that incorporate features of the tumor microenvironment including tumor-induced angiogenesis. Using analysis and nonlinear numerical simulations, we explore the effects of the interaction...

This event is a one day conference organized exclusively for and by graduate students. The intent is to give students an opportunity to network and present their research in a relaxed and non-stressful environment -- particularly students who may not...