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
Ben Webster, Department of Pure Mathematics, University of Waterloo
"Vertex algebras, arcs and loops, part 2"
I'll continue with vertex algebras, with an eye to how they arise in algebraic geometry through arc and loop spaces.
MC 5403
Ravi Mudaliar, Department of Pure Mathematics, University of Waterloo
"A Categorical Equivalence between Compact Connected Riemann Surfaces and Function Fields in 1 variable"
Sean Monahan, Department of Pure Mathematics, University of Waterloo
"Coloured fantastacks"
Rahim Moosa, Department of Pure Mathematics, University of Waterloo
"Restricted Zilber Trichotomy"
We will be reading Ben Castle's paper.
MC 5479
Francisco Villacis, Department of Pure Mathematics, University of Waterloo
"An Introduction to Schemes"
The goal of this talk is to present an overview of Section II.2 of Hartshorne. In particular, I will introduce our main objects of study for this seminar: schemes. I will define what these objects are and study some examples of schemes. If time permits, the second half of the seminar will be devoted to solving some problems from this section of Hartshorne.
MC 5403