John Baez (UCR) Two of my favorite numbers: 8 and 24 @ Harvard CMSA 8/24/2023

Harvard CMSA Quantum Matter in Math and Physics

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Time: August 24, Thur 10:00 am - 11:30 am ET
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John Baez (University of California, Riverside)
Two of my favorite numbers: 8 and 24
The numbers 8 and 24 play special roles in mathematics. The number 8 is special because of Bott periodicity, the octonions and the E8 lattice, while 24 is special for many reasons, including the binary tetrahedral group, the 3rd stable homotopy group of spheres, and the Leech lattice. The number 8 does for superstring theory what the number 24 does for bosonic string theory. In this talk, which is intended to be entertaining, I will overview these matters and also some connections between the numbers 8 and 24.
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Опубликовано:

23 авг 2023

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Комментарии : 8

@david.shugar Месяц назад

Thanks Prof. Baez. It's great how you connect all these concepts and hearing you speak is very insightful

@TheVincent0268 9 месяцев назад

Good to see a follow up on the lectures on 5, 8 and 24. They were about ten years ago?

@DanielKRui 6 месяцев назад

@58:20 why does the time coordinate wrap around at that point, in the context of the previous calculation of the partition function of the left moving waves on the circle/cylinder?

@DanielKRui 6 месяцев назад

@22:54 why are these 2 properties "integral" and "even" so important to the subject? Is there an "a priori" reason to isolate these definitions?

@BradleyRobinson 10 месяцев назад

❤

@dwinsemius 10 месяцев назад

@13:00 I think that the spelling of the mathematician who penned the book on Morse theory is "Milnor" (not Milner as it was spelled by the closed caption generator.).

@warwickclark2143 Месяц назад

Really? THAT’s your typo after an hour of this amazing lecture? A typo at 13:00? O not e?

@dwinsemius Месяц назад

@@warwickclark2143 It wasn't a criticism of anything done by Baez. It was an attempt to offer help to someone who might be trying to find the book on Morse theory (www.maths.ed.ac.uk/~v1ranick/papers/milnmors.pdf) that was being cited by Baez whose author was misspelled in the CC. Baez is not responsible for the CC text. And, if you look it up, it's actually by Spivak and Wells based on lectures by Morse.