In this talk I explained the E_{8} root lattice and how it gives rise to the ‘octooctonionic projective plane’, a 128-dimensional manifold on which the compact Lie group called E_{8} acts as symmetries. I also discussed how some special root lattices give various notions of ‘integer’ for the real numbers, complex numbers, quaternions and octonions.

This was one of a series of lectures based on my column This Week’s Finds.

Related

This entry was posted on Tuesday, November 29th, 2022 at 12:20 pm and is filed under conferences, mathematics. You can follow any responses to this entry through the RSS 2.0 feed.
You can leave a response, or trackback from your own site.

Here the X’s stand for the name of a famous lemma in category theory.

I wanted to, but did/could not, attend this zoom session for 2 reasons: (1) you did not say the time-of-day (2) I had, and still have, no idea what that Passcode was/is. So, i would request:Please be clearer/more straightfoward in future to your projectve attendees,not all of whom are “in” with everything you write about. Best regards,[Dr.] Michael Oakes.

I’m sorry—if you had questions, I wish you’d asked.

I wrote that post before the talk times were known, but I added the time when it became known: 3 pm UK time on Thursdays. The last one for this year is on this Thursday, December 1st—see the details here.

If you Google “famous lemma category theory” the name will be clear—it was just a little test of motivation. The answer is “Yoneda”.

You can use Markdown or HTML in your comments. You can also use LaTeX, like this: $latex E = m c^2 $. The word 'latex' comes right after the first dollar sign, with a space after it. Cancel reply

You need the word 'latex' right after the first dollar sign, and it needs a space after it. Double dollar signs don't work, and other limitations apply, some described here. You can't preview comments here, but I'm happy to fix errors.

Dear Prof. Baez, A while back, on your page https://johncarlosbaez.wordpress.com/2022/09/11/seminar-on-this-weeks-finds/ I read this:

I wanted to, but did/could not, attend this zoom session for 2 reasons: (1) you did not say the time-of-day (2) I had, and still have, no idea what that Passcode was/is. So, i would request:Please be clearer/more straightfoward in future to your projectve attendees,not all of whom are “in” with everything you write about. Best regards,[Dr.] Michael Oakes.

I’m sorry—if you had questions, I wish you’d asked.

I wrote that post before the talk times were known, but I added the time when it became known: 3 pm UK time on Thursdays. The last one for this year is on this Thursday, December 1st—see the details here.

If you Google “famous lemma category theory” the name will be clear—it was just a little test of motivation. The answer is “Yoneda”.