Talk #1
Jérémy Champagne, Department of Pure Mathematics, University of Waterloo
"Diophantine approximation by linear forms with angular restrictions"
Ben Webster, Department of Pure Mathematics, University of Waterloo
"Vertex algebras, arcs and loops"
I'll talk about vertex algebras, with an eye to how they arise in algebraic geometry through arc and loop spaces.
MC 5403
Thomas Bray, Department of Pure Mathematics, University of Waterloo
"Boundaries and C*-simplicity of (discrete) groups 2"
I will continue to discuss the contents of the paper “Boundaries of reduced C*-algebras of discrete groups" by Kalantar and Kennedy.
MC 5479
Jacques van Wyk, Department of Pure Mathematics, University of Waterloo
"The Hodge Decomposition Theorem"
Nick Priebe, University of Waterloo
"Introduction to Hadamard matrices and their quantum symmetries"
Continuing last Thursday's talk, we will introduce the Banica-Nicoara quantum symmetry groups of Hadamard matrices. These provide some interesting quantum groups, and in some sense capture some symmetries associated with the matrix.
MC 5403
Michael Brannan, Department of Pure Mathematics, University of Waterloo
"Some constructions with Hadamard matrices"
I'll discuss a few constructions involving Hadamard matrices, including: Hadamard graphs, unitary error bases, and mutually unbiased bases.
MC 5403
Lorenzo Fatibene, University of Torino
"Spin frames vs spin structures: A framework for Dirac fields in interaction with gravity"
Mehrdad Kalantar, University of Houston
"Complexification of operator spaces — Revisited"
Hanming Liu, Department of Pure Mathematics, University of Waterloo
"Living inside 3-manifolds"
Day to day life gives us a pretty good idea of what it is like living inside 3-dimensional Euclidean space. But what about other 3-manifolds? It turns out that thinking about this question leads to a way of visualizing 3-manifolds without having to visualize 4 or 5-dimensional Euclidean spaces, and to a classification of closed orientable 3-manifolds.
MC 5417
Talk #1: Logan Batson
"The density of integers n relatively prime to the integral part of nα"
We discuss the distribution of positive integers n that are relatively prime to the integral part of nα. We demonstrate that the density of such integers is 6/π2 by separating the cases when α is rational from when α is irrational and using some previous results of Vinogradov, Hardy and Wright.
Talk #2: Ismael El Yassini