Past Events

We explore classes of graphs on which a large number of pursuers are required to capture an evader. We give a lower bound for the cop number of graphs of high girth that improves a result of P. Frankl. We also consider lower bounds for the cop number...

Algebraic geometry is the study of geometric objects defined as the solution set of a system of polynomial equations p1,…,pr∈F[x1,…,xn] where F is an algebraically closed field. After recent spectacular progress in the classification of varieties...

Multiplayer games model the behavior of competing agents, and we are interested in the structure that emerges when the number of agents is large. The Dyson and Coulomb games are N-agent dynamic games that admit well studied models of statistical...

For a symmetric diffusion, we show that the two-sided sub-Gaussian heat kernel estimate implies singularity of energy measures with respect to the reference measure. This gives an affirmative answer to a conjecture of Barlow (2003). This is joint...

One of the best studied experimental models for selforganization in embryonic development is the formation of skeletal elements in tetrapod limbs, in particular in the chicken and the mouse. Here cells aggregate to form chondrogenic condensations...

The discrete moment problem is a foundational problem in distribution-free robust optimization, where the goal is to find a worst-case distribution that satisfies a given set of moments. This paper studies the discrete moment problems with additional...

Generative Adversarial Networks have been shown to be powerful in generating content. To this end, they have been studied intensively in the last few years. Nonetheless, training these networks requires solving a saddle point problem that is...

We describe a theorem due to Jianya Liu and Yangbo Ye (Pure and Applied Mathematics Quarterly, Volume 3, Number 2, 481-497, 2007) concerning the prime number theorem for automorphic L-functions. We state the theorem and review the strategy of the...

How does representation of a problem affect the complexity of solving it? What is the interplay between the richness of a domain in which a statement is expressed and the complexity of proving that statement? Not only this is a fundamental question...

Particle-laden flows are ubiquitous in many environmental flows and man-made processes. Their intricate dynamics is governed by momentum transfer between fluid and particles and is strongly multi-scale. I will discuss mathematical, computational and...