Past Events

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...

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...

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...

In everybody’s first course in category theory, we learn that categories have two different flavours of morphism: 0-morphisms (which are categories themselves), 1-morphisms (which are functors), and 2-morphisms (which are natural transformations). In...

We describe parametrizations of rings that generalize the notions of monogenic rings and binary rings. We use these parametrizations to give better lower bounds on the number of number fields of degree n and bounded discriminant.

The cosine measure is a tool that tells you how well a set of directions is covering the space $\mathbb{R}^n$. In this talk, we extend the concept of cosine measure by defining the cosine measure relative to a subspace. This novel definition might be...

I will present a coupling between a massive planar Gaussian free field (GFF) and a random curve in which the curve can be interpreted as the level of the field. This coupling is constructed by reweighting the law of the standard GFF-SLE_4 coupling. I...

A network of interacting qubits (usually subatomic particles) can be modelled by a connected weighted undirected graph $G$. The vertices and edges of $G$ represent the qubits and their interactions in the network, respectively. Quantum mechanics...

Quivers and their mutations play a fundamental role in the theory of cluster algebras. We focus on the problem of deciding whether two given quivers are mutation equivalent to each other. Our approach is based on introducing an additional structure...