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June 17, 2020

ACT2020 Tutorial Day

Posted by John Baez

If you’re wanting to learn some applied category theory, register for the tutorials that are taking place on July 5, 2020 as part of ACT2020!

More details follow….

Applied category theory offers a rigorous mathematical language and toolset for relating different concepts from across math, science, and technology. For example, category theory finds common patterns between geometry (shapes), algebra (equations), numbers, logic, probability, etc. Applied category theory (ACT) looks for how those very same patterns extend outward to data, programs, processes, physics, linguistics, and so on—things we see in the real world. The field is currently growing, as new applications and common patterns are being found all the time. When you understand these ideas, more of your intuitions about the world can be made rigorous and thus be communicated at a larger scale. This in turn gives our community a chance to solve larger and more complex scientific, technological, and maybe even societal problems.

This year’s international applied category theory conference ACT2020 is having a tutorial day, meant to introduce newcomers to applied category theory. Tutorial day will take place on July 5 and will include a few main topics that will be taught semi-traditionally (via presentation, exercises, and discussion) over Zoom, as well as mentors who will be available throughout the day to work with smaller groups and/or individuals. We invite you to sign up here if you’re interested, so we can keep you posted. Hope to see you there!

The four courses will be roughly as follows:

  • David Spivak: categorical databases for introducing sets, functions, categories, and functors.

  • Fabrizio Genovese: string diagrams as a graphical language for category theory.

  • Emily Riehl: the Yoneda lemma in the category of matrices.

  • Paolo Perrone: monads and comonads.

Posted at June 17, 2020 8:20 PM UTC

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Re: ACT2020 Tutorial Day

Thanks John you beat me to it!

To everyone else, I’m happy to take questions about the ACT tutorial day. All are welcome to attend. Please help us spread the word.

Posted by: Emily Riehl on June 17, 2020 10:06 PM | Permalink | Reply to this

Re: ACT2020 Tutorial Day

Unfortunately I missed the live presentations.

I was looking to find them on the internet and ended up here.

Will they be posted somewhere?


Posted by: Mayk Alves de Andrade on July 6, 2020 12:48 AM | Permalink | Reply to this

Re: ACT2020 Tutorial Day

Yes, everything from ACT2020 is or will be on YouTube. Here are the tutorials:

As David points out, applied category theory is “something really good that is happening in the world”.

Posted by: John Baez on July 7, 2020 12:30 AM | Permalink | Reply to this

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