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: 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...

Modeling "social" interactions within a large population has proven to be a rich subject of study for a variety of scientific communities during the past few decades. Specifically, with the goal of predicting the macroscopic effects resulting from...

The idea behind Grothendieck-Teichmüller theory is to study the absolute Galois group via its actions on (the collection of all) moduli spaces of genus g curves. In practice, this is often done by studying an intermediate object: The Grothendieck...