Past Events

For long-range percolation on ℤ with translation-invariant edge kernel J, it is a classical theorem of Aizenman and Newman (1986) that the phase transition is discontinuous when J(x−y) is of order |x−y|−2 and that there is no phase transition at all...

Due to their nonlocal properties, fractional derivatives, such as the Riemann-Liouville or Caputo type, are sometimes used to model memory effects. While their physical interpretation is still not clear, fractional models seem to better describe...

There are two ways to compute moments in families of L-functions: one uses the approximation by Dirichlet polynomials, and the other is based on multiple Dirichlet series. We will introduce the two methods to study the family of real Dirichlet L...

For a fixed $d \in \mathbb{N}$, the non-commutative (nc) universe $\mathbb{M}^d$ is defined as the graded (disjoint) union of $d$-tuples of $n \times n$ (complex) matrices over $n \in \mathbb{N}$. A function $f : \mathbb{M}^d \to \mathbb{M}^1$ is...

The notions of noise sensitivity and stability were recently extended for the voter model, a well-known and studied interactive particle system. In this model, vertices of a graph have opinions that are updated by uniformly selecting edges. We...

A directed variant of the famous Oberwolfach problem, the directed Oberwolfach problem considers the following scenario. Given n people seated at t round tables of size m1,m2…,mt, respectively, such that m1+m2+⋯+mt=n, does there exist a set of n−1...

To effectively reduce methane emissions from oil sands tailings ponds, it is crucial to comprehensively understand the characteristics of methane input and the specific contribution of each element to the overall emission. In this procedure, one must...

Let E be an elliptic curve over a number field F. We will discuss the structure of certain modules that arise in the Iwasawa theory of elliptic curves and their applications to the growth of Mordell-Weil ranks along infinite Galois extensions of F...

Stellarators are promising magnetic fusion devices for electricity generation, because the dynamics of the hot fusion fuel - called a plasma - is largely determined by external control, as opposed to dynamical self-organization, as is the case for...

Let f and g be two newforms with equal coefficient fields. In this talk we will see how a congruence between the Galois representations of f and g for a sufficiently large prime p implies strong conditions between the algebras of endomorphisms of the...