Past Events

We will present the "method of killing homotopy groups" due to Cartan and Serre in the 1950s, a method to compute some homotopy groups of spheres. The method relies on the Hurewicz theorem and the Serre spectral sequence of the fibration that kills...

The quality of the triplet $(a,b,c)$, where $\gcd(a,b,c) = 1$, satisfying $a + b = c$ is defined as $$ q(a,b,c) = \frac{\max\{\log |a|, \log |b|, \log |c|\}}{\log \mathrm{rad}(|abc|)}, $$ where $\mathrm{rad}(|abc|)$ is the product of distinct prime...

In this talk I will talk about some of my favorite problems which remain open in the field of continuous-time quantum walks in graphs.

I will report on joint work with Billerey, Dieulefait, Freitas, and Najman in which we develop some of the necessary ingredients to use Frey abelian varieties in the modular method, inspired by ideas from Darmon's program for resolving generalized...

Data science involves the collection, management, processing, analysis, visualisation and interpretation of huge amounts of data. It is a multi-disciplinary field that integrates systematic thinking, methodology, process and technology to develop...

A broadcast on a connected graph G with vertex set V(G) is a function f:V(G) ➛ {0, 1, ..., diam(G)} such that f(v) ≤ e(v), where e(v) denotes the eccentricity of v. If f(v) > 0, the vertex v is said to broadcast at strength f(v). In generalizing...

The method of cutting and stacking has long been used in ergodic theory. As a useful tool for constructing stationary and ergodic processes with desired properties, this method should also be powerful in solving information theoretic problems. In...

The blow up of the anticanonical base point on X, a del Pezzo surface of degree 1, gives rise to a rational elliptic surface E with only irreducible fibers. The sections of minimal height of E are in correspondence with the 240 exceptional curves on...

This event is part of the PIMS CRG Group on L-Functions in Analytic Number Theory. More details can be found on the webpage here: https://sites.google.com/view/crgl-functions/crg-weekly-seminar

The blow up of the anticanonical base point on X, a del Pezzo surface of degree 1, gives rise to a rational elliptic surface E with only irreducible fibers. The sections of minimal height of E are in correspondence with the 240 exceptional curves on...