Geometric Analysis Working Seminar
Organizational Meeting
Robert Martin, University of Cape Town
“Multipliers between deBranges-Rovnyak subspaces of Drury-Arveson space”
Henry Liu, Department of Pure Mathematics, University of Waterloo
“Stringy Actions and Gauge Fixing”
Christopher Hawthorne, Pure Mathematics, University of Waterloo
We will work through chapter 7 of Tent and Ziegler. We will develop the notions of forking and dividing as measures of how strongly a set depends on a set of parameters. We will then introduce simple theories, an important generalization of stable theories.
Deirdre Haskell, McMaster University
Abstract
This term we will be reading through Ducros Bourbaki article, “Les espaces Berkovich sont moderes [dapres Ehud Hrushovski et Francois Loeser]. We start with the overview given in the introduction.
MC 5403
Raymond Cheng, Department of Pure Mathematics, University of Waterloo
"Topologies in Algebraic Geometry"
Kevin Hare, University of Waterloo
“Self Affine Maps”
Jonathan Stephenson, Department of Pure Mathematics, University of Waterloo
“2-randomness and complexity”
We will begin our proof that Z is 2-random if and only infinitely many of its initial segments are incompressible in the sense of plain complexity.
Ehsaan Hossain, Pure Mathematics, University of Waterloo
"Morita theory 1: Modules"
Let $\mathrm{Mod}_R$ be the category of right $R$-modules. Two rings $R,S$ are \textit{Morita equivalent}, denoted $R\sim S$, if $\mathrm{Mod}_R$ and $\mathrm{Mod}_S$ are equivalent as categories. For example $\mathbf{C}$ is Morita equivalent to $M_2(\mathbf{C})$, because any $\mathbf{C}$-vector space can double up to become an $M_2(\mathbf{C})$-module. Many properties are Morita invariant; for instance simplicity, semisimplicity, and chain conditions.
Christopher Hawthorne, Pure Mathematics, University of Waterloo
We will work through chapter 7 of Tent and Ziegler. We will develop the notions of forking and dividing as measures of how strongly a set depends on a set of parameters. We will then introduce simple theories, an important generalization of stable theories.