Speaker: Anna Barry (UBC)
Title: Vortex Crystals and the (1+N)-Vortex Problem.
Title: Regular and Super Regular Tessellations of E^3 and H^3
Abstract: We shall define the tessellations of the talk and introduce the Klein and Poincare disk and ball models for H^2 and H^3. We shall introduce the concept of a universal group and state our main theorem, which is that a universal group exists that preserves a “wall set” associated to a super regular tessellation of H^3.
Title: Introduction to Topological Data Analysis.
Speaker: Chris Moseley (Calvin College)
Title: Rotations and the Fourth Dimension
Abstract: we are familiar with the idea of a fourth dimension, as in Einstein’s Special Theory of Relativity. However, the first thorough mathematical exploration of the fourth dimension predates Einstein by 60 years! In this colloquium we will see how the mathematician William Hamilton “jumped… into a fourth dimension” (his words) as he discovered quaternions, 4-dimensional numbers that are used today in the control of spacecraft and the programming behind 3D graphics in computer games.