# Events by date

## Thursday, January 14, 2016

### Ring theory learning seminar

Thursday, January 14, 2016 — 11:30 to 11:30 AM EST

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.

### Model Theory Learning Seminar

Thursday, January 14, 2016 — 1:00 PM EST

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.

### Number Theory Seminar

Thursday, January 14, 2016 — 1:30 PM EST

Kevin Hare, Pure Math Department, University of Waterloo

“Beta representations and Pisot numbers”

### Universal Algebra Seminar

Thursday, January 14, 2016 — 2:30 PM EST

Ian Payne, Department of Pure Mathematics, University of Waterloo

"A result on constraint satisfaction problems"

### Model Theory Learning Seminar

Thursday, January 14, 2016 — 3:30 PM EST

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.

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