Rahim Moosa, Department of Pure Mathematics, University of Waterloo
"Restricted Zilber Trichotomy"
We will be reading Ben Castle's paper.
MC 5479
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
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
Sean Monahan, Department of Pure Mathematics, University of Waterloo
"Coloured fantastacks"
Ravi Mudaliar, Department of Pure Mathematics, University of Waterloo
"A Categorical Equivalence between Compact Connected Riemann Surfaces and Function Fields in 1 variable"
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
Talk #1
Jérémy Champagne, Department of Pure Mathematics, University of Waterloo
"Diophantine approximation by linear forms with angular restrictions"
Jacques van Wyk, Department of Pure Mathematics, University of Waterloo
"The Hodge Decomposition Theorem"
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
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