Past Events

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...

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.

When particles interact with attractive-repulsive dynamics, which can model birds flocking, space dust, or a variety of other phenomena, they tend to form a nice distribution. Understanding these distributions is an active area of applied analysis...

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...

Hopfield proposed in 1982 as a simple model capable to store and successively retrieve a number of high dimensional patterns, which represents nowadays a cornerstone of the early AI studies. The Hopfield model can be studied from the angle of...

Skeletal muscle is composed of cells collectively referred to as fibers, which themselves contain contractile proteins arranged longtitudinally into sarcomeres. These latter respond to signals from the nervous system, and contract; unlike cardiac...

We study sums of the form ∑n≤x f(n) n⁻ⁱʸ, where f is an arithmetic function, and we establish an equivalence between the Riemann Hypothesis and estimates on these sums. In this talk, we will explore examples of such sums with specific arithmetic...

Given a set T of distinct \delta-tubes and a set P of disjoint \delta-balls in R^n, the set of incidences between T and P is defined as I(P,T)={(p,l)∈P×T:p∩l≠∅}. The well-known Szemeredi-Trotter theorem in combinatorics studies a discrete analogue...