booklet - CUMC - Canadian Mathematical Society

(incompressible) Navier-Stokes fluid model and to hyperviscosity as a computationaltechnique is presented. Various forms of analysis on hyperviscosity within our fluidmodel are also presented and critiqued.THÉORIE DES GROUPES ET CUBE RUBIKNADIA LAFRENIÈRELe Cube Rubik constitue une figuration concrète de plusieurs éléments de théoriedes groupes, notamment de la notion d’action de groupe sur un ensemble. Le but del’exposé est de discuter du Cube Rubik comme une application ludique de l’algèbre.Required Background: Théorie des groupesANALYSISNADIA SYEDAFor a long time, mathematicians believed that a continuous function could be nondifferentiableonly at some collection of isolated points. But in 1872, Karl Weierstrassconstructed an example of a continuous function that is not differentiable at any point.The Weierstrass function, as this function is now called, is one of the very first examplesof a fractal. In this talk, I will discuss the construction of this function, along with somerelated work of Weierstrass.CLEAN MATRIX-VALUED PROBABILITY DISTRIBUTIONSNATALIA FILOMENOMotivated by work in quantum information theory, this lecture introduces and characterisesthe concept of clean matrix-valued probability measure.HOLONOMY OF 4-DIMENSIONAL METRICSNATHAN MUSOKEA natural way to generalize the movement of vectors around a surface in Euclideanspace to movement around a more general manifold is by parallel transport. The holonomyof a manifold is a measure of the extent to which parallel transport around a closedloop fails to preserve the vector transported. In this talk I will give a simple motivatingexample, then definitions of the holonomy group of a manifold and related terms,and present some theorems from the literature. Some example calculations will then begiven.HOMOMORPHISM-HOMOGENEOUS GRAPHSNICKOLAS ROLLICKI will review some basic definitions from graph theory, in particular the notion of agraph homomorphism, leading up to the definition of a homomorphism-homogeneousgraph. Once we know what a homomorphism-homogeneous graph is, I briefly survey39