Past Events

Paley graphs connect many branches of mathematics, notably combinatorics and number theory. Inspired by the Erdős-Ko-Rado (EKR) theorem for Paley graphs of square order (first proved by Blokhuis) and recent development of the study of EKR-type...

Cartesian Differential Categories are defined to introduce and study the notion of differential from calculus in a category theory point of view. In a Cartesian Differential Category, morphisms between objects can be « derived », and this...

I will give a very broad overview discussing various uses and generalizations of the shift operator (and its adjoint). In the classical case we consider the Hardy space of analytic functions on the complex disk with square summable Taylor...

TBC This event is part of the Emergent Research: The PIMS Postdoctoral Fellow Colloquium Series.

Starting from just a sheet of paper, by folding, stacking, crumpling, sometimes tearing, we will explore a variety of phenomena, from magic tricks and geometry to elasticity and the traditional Japanese art of origami. Much of the show consists of...

TBC

One of the main questions I posed to my supervisor Geoffrey Cruttwell when I applied for the PhD program, was whether non-commutative geometry could be described using the language of tangent categories. My background in theoretical physics makes me...

A classical question in polytope theory is whether an abstract polytope can be realized as a concrete convex object. Beyond dimension 3, there seems to be no concise answer to this question in general. In specific instances, answering the question in...

Topological Azumaya algebras are topological shadows of more complicated algebraic Azumaya algebras defined over, for example, schemes. Tensor product is a well-defined operation on topological Azumaya algebras. Hence given a topological Azumaya...

A significant cause of cancer treatment failure is both inter- and intra-patient heterogeneity. Understanding genetic heterogeneity prior to cancer diagnosis and how to deal with cellular heterogeneity during treatment is critical to improving...