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Generation in prime characteristic

Finite dimensional vector spaces have a simple classification mechanism - compute the dimension. Vector spaces with additional operators have more complicated classification structure but it can still be done via finite amount of linear algebraic data. If the operators satisfy identities, then we can no longer guarantee this.

We discussed this and how using Frobenius pushforwards remedies the situation in finite characteristic.


About this setup

This is a colloquium talk I gave at Auburn.

The presentation uses the Reveal.js framework, the KaTeX engine to render math, and is hosted with GitHub Pages.

Reveal.js comes with server which hot reloads on changes to the html files. If you don't have your own server, I recommend using this.

To use this as template for your talk, first install node. The simplest way for an up-to-date version is via nvm. Then install npm.

Next, clone this repository. Inside the main folder of the repository, run npm install to build the node module dependencies.

Run npm start to initialize the server. It will provide a url address for the server.

Now edit index.html to author your talk and point your favorite browser to the url to see the results.

To enable access via the internet, set up GitHub Pages.