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Tuesday, January 12, 2016 1:00 pm - 1:00 pm EST (GMT -05:00)

Model Theory Learning Seminar

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.

Thursday, January 14, 2016 11:30 am - 11:30 am EST (GMT -05:00)

Ring theory learning seminar

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.

Thursday, January 14, 2016 1:00 pm - 1:00 pm EST (GMT -05:00)

Model Theory Learning Seminar

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.

Thursday, January 14, 2016 3:30 pm - 3:30 pm EST (GMT -05:00)

Model Theory Learning Seminar

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.

Wednesday, September 7, 2016 3:00 pm - 3:00 pm EDT (GMT -04:00)

Master's Thesis Seminar

Se-Jin Sam Kim, Pure Mathematics, University of Waterloo

"Crossed products and Morita equivalence"

The talk will consist of three parts. Firstly, we will establish some basic notions of crossed product $C^*$-algebras, with a focus on the irrational rotation algebras.

Thursday, October 6, 2016 1:30 pm - 1:30 pm EDT (GMT -04:00)

Topos Theory Learning Seminar

Christopher Hawthorne, Pure Mathematics, University of Waterloo

We begin chapter 4 of Goldblatt. (Category theory background from chapter 3 will be assumed.) We introduce subobjects and subobject classifiers; time permitting, we will get to the definition of a topos.