Past Events

We study the moduli space of certain heterotic string theories defined via complex non--Kahler 3-folds with a holomorphic vector bundle that has a connection that is Hermitian Yang-Mills. A consideration of symmetries naturally leads to fibering the...

The basis of protein localization to membraneless compartments within cells has been a longstanding question that is increasingly thought to reflect biological phase separation, but other strategies may exist. To this end, the presentation will show...

By using an identity relating a sum to an integral, we obtain a family of identities for the averages $M(X)=\sum_{n\leq X} \mu(n)$ and $m(X)=\sum_{n\leq X} \mu(n)/n$. Further, by choosing some specific families, we study two summatory functions...

Primitive integral Apollonian circle packings are fractal arrangements of tangent circles with integer curvatures. The curvatures form an orbit of a 'thin group,' a subgroup of an arithmetic group having infinite index in its Zariski closure. The...

In this talk, I introduce several first- and second-order models for self-collective behaviour on general manifolds and discuss their emergent behaviors. For the first-order model, we consider attractive-repulsive and purely attractive interaction...

This talk requires no prior knowledge and will be a gentle introduction to colouring graphs. It will be suitable for a broad audience including undergraduates. We will start with some historical tales, including the four colour map problem and the...

On a few examples, such as the permanent of a matrix, (partition function for a system of bosons), matching polynomial of a graph (partition function in a monomer-dimer system), and the independence polynomial of a graph (partition function in the...

From a directed graph $Q$, called a quiver, one can construct what is known as a quiver variety $Y_Q$, an algebraic variety defined as a quotient of a vector space by a group defined in terms of $Q$. A mutation of a quiver is an operation that...

In this talk I will explain how to obtain a local to global principle for expected values over free ℤ-modules of finite rank. We use the same philosophy as Ekedhal’s Sieve for densities, later extended and improved by Poonen and Stoll in their local...

The backtracking line-search is an effective technique to automatically tune the step-size in smooth optimization. It guarantees similar performance to using the theoretically optimal step-size. Many approaches have been developed to instead tune per...