Past Events

In the preface of its Lectures on Noncommutative Geometry [Gin05], Ginzburg writes: “Each of the mathematical worlds that we study is governed by an appropriate operad. Commutative geometry is governed by the operad of commutative (associative)...

From the work on Bernoulli convolutions by P. Erd\H{o}s in 1939 and up to the recent advances on self-similar measures by M. Hochman, P. Shmerkin, P. Varj\'u, and others, questions on absolute continuity and singularity remain to be a challenge. They...

A useful way of producing samples from a given measure ν on a state space Ω is by providing a Markov chain whose stationary measure in ν. In order to be able to sample efficiently, one needs to show that the chain "mixes" quickly in terms of the rate...

In this talk, we will study the mean field limit of weakly interacting diffusions for confining and interaction potentials that are not necessarily convex. We explore the relationship between the large N limit of the constant in the logarithmic...

A useful way of producing samples from a given measure ν on a state space Ω is by providing a Markov chain whose stationary measure in ν. In order to be able to sample efficiently, one needs to show that the chain "mixes" quickly in terms of the rate...

A Kakeya set is a compact subset of R^n that contains a unit line segment pointing in every direction. The Kakeya conjecture asserts that such sets must have dimension n. This conjecture is closely related to several open problems in harmonic...

In his seminal work on modular curves and the Eisenstein ideal, Mazur studied the existence of congruences between certain Eisenstein series and newforms, proving that Eisenstein ideals associated to weight 2 cusp forms of prime level are locally...

The past twenty-five years have heralded an unparalleled increase in understanding of cancer. At the same time, mathematical modelling has emerged as a natural tool for unravelling the complex processes that contribute to the initiation and...

It is well known that a maximal planar graph of order at least 3 is 3-colourable if and only if it is Eulerian. It is also known that if a maximal planar graph of order at least 3 has exactly two vertices of odd degree, then these vertices are...