The Life of Alexander Grothendieck & Topos Theory | Colin McLarty

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Colin McLarty is an American philosopher and mathematician renowned for his contributions to category theory, particularly in the philosophy of mathematics, and for his role as a leading scholar on the works of mathematician Saunders Mac Lane.

Timestamps:
00:00 - Journey Into Math
03:40 - Students
06:35 - Richard Borcherds
16:25 - Grothendieck in Kansas
20:07 - His Special Powers
21:00 - Teaching
24:30 - Manifolds
27:15 - Accomplishments of Grothendieck
39:52 - Perelman
43:25 - Topos Theory
59:20 - Fermat's Last Theorem
01:11:20 - Godel's Theorem
01:32:10 - One Question For Grothendieck
01:38:30 - Support TOE

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Timestamps:
00:00 - Journey Into Math
03:40 - Students
06:35 - Richard Borcherds
16:25 - Grothendieck in Kansas
20:07 - His Special Powers
21:00 - Teaching
24:30 - Manifolds
27:15 - Accomplishments of Grothendieck
39:52 - Perelman
43:25 - Topos Theory
59:20 - Fermat's Last Theorem
01:11:20 - Godel's Theorem
01:32:10 - One Question For Grothendieck
01:38:30 - Support TOE

TheoriesofEverything
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As a phd in algebraic geometry, I must say this is one of the best episodes of ToE I've ever seen!

rv
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He never gave me a bad grade. Greatest teacher.

Atok
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This dude is one of the coolest scientists I’ve seen talk. He’s got swag

Mikeduffey_
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If you can invite Colin McLarty back for a second podcast episode, I would suggest the general topic of the episode to be something like "Colin McLarty's guide to studying X" where X is some math (sub)field. It could be many different sub-fields. I like the approach of telling the history of a field while learning it. For certain fields (topos theory, category theory, etc.), Colin can probably tell its history (i.e. what are the problems that eventually gave rise to that field and who are the mathematics working on it) and suggest good literature about the field itself and its history.

rentristandelacruz
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'It is [...] the topos [...] which is this "bed", or "deep river", where geometry and algebra, topology and arithmetic, mathematical logic and category theory, the world of the continuous and that of "discontinuous" or "discrete" structures come together.' —Grothendieck, R&S 1

avoidbeing
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OMG so good to hear Colin McLarty live, and with clear audio. He wrote what I consider my first "hard" category theory book. Thx for this video!

TonyDolezal
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"The point of category theory is to take statements that are apparently trivial and to show that they really are"

snowpants
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For anyone interested in Grothendieck, I recommend Benjamin's Labatut's "nonfiction novel" When We Cease to Understand the World. He vividly portrays Grothendieck's idiosyncratic genius and profound moral impulse.

mattmiller
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Moments of laughter and moments of awe (for me at least). Going back through your catalog of interviews, the more I watch the more impressed I am with what you've achieved with your channel. Thank you so much for all this great content... and keeping a good vibe throughout the diverse conversations you've been faced with. I think we're all in a slightly better place because of channels/content like this. Keep it up!!! <3

fredrikio
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"Greatest math genius who lived" in the thumbnail seemed overblown, but then I read this is indeed about Alexander Grothendieck.

ronald
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I love your interviews on
Maths and Physics ! Thanks

fabienleguen
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Appreciating you actually writing the subtitles such that I can parse the names.

nrrgrdn
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Watched the episode twice, I've been fascinated in Alexander as well being a former math major at Cal a thousand years ago...thanks for the episode!

vootman
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Nicely done. I tried reading EGA once. Grothendieck basically starts out by saying, okay, I am going to assume that you have a thorough knowledge of commutative algebra, homological algebra, sheaf theory, and category theory. I thought, hm, let me get back to you in a couple of years. 😂

I am really enjoying your content, sir. Keep it up!

OblateBede
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I loved Professor McLarty’s 2018 lecture! Great to see the discussion continue. ^.^

TheMemesofDestruction
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This was just on the edge of my understanding. Motivates me to learn more Math. Hopefully i am not already so old that I can't understand this deeper.

ReflectiveJourney
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This was delightful, one of my favorite guests you've had yet! I loved the response at 1:06:00!!

philipm
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I made it to Calculus IV in college by the grace of some very good professors. And I can't make out a word of what these men are saying to each other. But I've also worked in computer programming and been in situations where people where talking about the ins and outs of disciplines that were above my pay grade. So what I"m getting is not Professor Irwin Corey type word salads, but two people talking about very specialized disciplines. I'm impressed by how many times Curt says something that Mr. McLarty says 'yes' to. The life of Alexander Grothendieck is interesting. He reminds me of the physicist in Ursula K. Le Guin's science fiction novel, "The Dispossessed." Working on world changing theories while negotiating with his life in different kinds of societies that want to destroy his life in different ways.

EndingSimple
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What a truly outstanding delight. I am so grateful for this content.

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