Past Events

We prove that skew systems with a sufficiently expanding base have "approximate" statistical properties similar to random ergodic Markov chains. For example, they exhibit approximate exponential decay of correlations, meaning that the exponential...

Abstract:A set of geometric graphs is geometric-packable if it can be asymptotically packed into every sequence of drawings of the complete graph K_n. For example, the set of geometric triangles is geometric-packable due to the existence of Steiner...

Abstract: Multi-marginal optimal transport in the general mathematical problem of aligning several probability distributions with maximal efficiency, relative to a given cost function. While many applications for this problem have emerged over the...

The Erdos-Hajnal conjecture states that for every graph H there exists $c > 0$ such that every n-vertex graph $G$ either contains $H$ as an induced subgraph, or has a clique or stable set of size at least $n^c$. I will talk about a proof of this...

Abstract: We study stochastic motion of objects in micrometer-scale living systems: proteins in the nucleus, organelles in cells, and pathogens in mucus barriers. Phenomena such as self organization emerges from the behavior of single individuals...

Quantum computing is believed to provide many advantages over traditional computing, particularly considering the speed at which computations can be performed. One of the challenges that needs to be resolved in order to construct a quantum computer...

Abstract: Motivated by biological questions related to DNA packing and the movement of molecules through channels, it is of interest to determine whether a specific knot or link type can be realized in a confined volume. In this talk, we will discuss...

Abstract: In non-equivariant topology, the ordinary homology of a point is described by the dimension axiom and is quite simple – namely, it is concentrated in degree zero. The situation in G-equivariant topology is different. This is due to the fact...

Abstract: Motivated by biological questions related to DNA packing and the movement of molecules through channels, it is of interest to determine whether a specific knot or link type can be realized in a confined volume. In this talk, we will discuss...