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
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
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
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