Past Events

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 conjecture...

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...

This talk introduces a probabilistic approach to numerically compute geometric convergence rates in discrete or continuous stochastic systems. Choosing appropriate coupling mechanisms and combining them together, works well in many settings...

As a disease spreads through a population, the pool of people still susceptible to the disease decreases. Eventually, it becomes unlikely that an infectious person will contact a susceptible person and as a result the number of infectious people...

Recently there has been a lot of progress in classifying phases of gapped quantum many-body systems. From the mathematical viewpoint, a phase of a quantum system is a connected component of the “space” of gapped quantum systems, and it is natural to...

Suppose mu is a probability measure which is shift invariant on {0,1}^{Z^d} and we know that for almost every configuration x in {0,1}^{Z^d} there are connected components of 1s which are infinite. In this talk, we will follow a paper by Burton and...

A random planar map is a canonical model for a discrete random surface which is studied in probability, combinatorics, mathematical physics, and geometry. Liouville quantum gravity is a canonical model for a random 2d Riemannian manifold with roots...

Abstract We say that \(G\to (F, H)\) if, in every edge colouring \(c : E(G) \to \{1, 2\}\), we can find either a 1-coloured copy of \(F\) or a 2-coloured copy of \(H\). The well-known Kohayakawa-Kreuter conjecture states that the threshold for the...

For k a perfect field of characteristic p > 0 and G a split reductive group over k with p a non-torsion prime for G, we compute the mod p motivic cohomology of the geometric classifying space BG_(r), where G_(r) is the rth Frobenius kernel of G. Our...

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