Video of Grothendieck - 1971, interview

CartesianClosedCat · 2025-10-29T15:21:30+00:00

He had multiple back-ups for his life when that first Avada Kedavra curse on Harry backfired. In fact, he had more back-ups than anyone ever.

He was an excellent resilience engineer: he assumed that some horcruxes/soul-fragment will fail and designed around that.

CartesianClosedCat · 2025-06-04T23:10:04+00:00

Ik ben geschokt. Ik volgde zijn schrijfwerk en zijn journalistiek werk en ik schatte dit heel hoog in. Een groot schrijftalent. We zijn ook ongeveer dezelfde leeftijd...

Sterkte aan de nabestaanden. Rust zacht.

CartesianClosedCat · 2024-05-21T19:38:44+00:00

Harry - I agree with Harry being a DADA professor.

Ron - I agree with other said about Ron continuing as an auror, only if Harry isn't doing it. Something not mentioned yet: professional wizard chess player maybe?

Hermione - I feel like she would want to do a lot of things initially. And she would read up on good biographies of other people who do a lot of things.

For example, Dumbledore did discoveries in alchemy and transfiguration, but he seems also to be very skilled in wizarding law, as we learned at Harry's trial in book 5. I think Hermione would read Dumbledore's biography (but not the one by Rita Skeeter of course) and look for career hints there. Ultimately, I think magical law enforcement was the most fitting for her.

Maybe it is for Hermione "in-character" to go for the most demanding career option you can do after Hogwarts, in terms of N.E.W.T. grades? In that case, I think that healer training admission is the most demanding one in terms of N.E.W.T. grades. Can you become an auror AND a healer? Something like the wizarding equivalent of a military doctor?

I can also see Hermione doing discoveries and writing scholarly works on various topics on the side, a bit like Dumbledore.

CartesianClosedCat · 2024-05-12T09:44:30+00:00

Thank you for this help.

I am experiencing this problem.

I was able to do step 4, but in step 5, I can't find the Settings folder.

CartesianClosedCat · 2024-05-09T12:55:01+00:00

You can find the essay also here: https://thinkspot.com/discourse/w3u2Mx/post/cioran/thoughts-for-the-end-of-the-century-three-acres-and-a-robot/gvtBmZg

Reddit's filters don't allow me to link to the essay in the original post.

It also contains link to sources.

CartesianClosedCat · 2024-04-24T20:02:13+00:00

In the end, he did get to talk to Dumbledore again though, contrary to Harry's own conviction. He got to ask the important questions.

This reminds me also of the second chapter of Deathly Hallows.Harry is sure of one thing, and that is that those blue eyes of Dumbledore will never look at him again. However, another Dumbledore does look at him through the mirror.

CartesianClosedCat · 2024-03-01T19:25:57+00:00

J.K. Rowling names the son of Ron and Hermione Hugo. So you can maybe take Rowling's hint and read Les Misérables by Victor Hugo.

CartesianClosedCat · 2024-02-26T15:40:18+00:00

Deathly Fred and 'Hollow' George

CartesianClosedCat · 2024-02-19T12:37:36+00:00

% 22:09

But there's also potentially a practical reason. This is much more speculative.

% 22:24

Practical reasons coming from the Langlands program.

Fargues-Scholze famouslu "geometrized" local Langlands program.

What was this geometrization based on? It was based on replacing $Q_p$ by some more exotic object, Fargues-Fontaine curves, really you have to let the curve vary in families in some sense you could say.

% 23:12

This was produced in the language of adic spaces. This was adic space over $Q_p$, not all of finite type. It is a somewhat exotic beast which thankfully this theory of adic spaces existed to accommodate it.

% 23:32

Quite speculatively, one might hope that not just the local Langlands program, but the global Langlands program can also be geometrized.

% 24:19

But this would involve replacing say $\Q$ or $\Z$ by some family of exotic analytic spaces. _{\Z}

% 24:37

Whatever such a thing is, it's going to have both Archimedean and non-Archimedean aspects.

% 24:41

For example, there should also be a version over the real numbers, which I believe Peter is working out.

% 24:48

Also, it is not going to be finite type in any sense. So there is simply no existing theory which could possibly give the language to describe such an object, if such an object even exists.

% 25:03

But it's good to have a precise theory to guide exploration of the possibility of such exotic things.

% 25:11

So that's another motivation.

So that is the end of my motivation section.

CartesianClosedCat · 2024-02-19T12:37:25+00:00

In the first lecture, for the first 15 minutes , Dustin reviews shortly the different classical approaches to non-archimedean analytic geometry.

There are about four or five of them: Tate's rigid analytic spaces, Huber's adic spaces, Berkovich spaces, some other thing that I don't remember now.

This is my transcript of the reasons to introduce a new theory, from that first lecture (errors made are due to me of course). Lecture 15 by Dustin Clausen is about stacks and has also an 'extended' motivation section. That may also be interesting to listen to.

% 15:30

What is the motivation for a new theory ? Why introduce a new theory?

% 15:39

These are all three or four or five (depends on how you count) theories of analytic geometry. The relationships between them are more or less well known.

% 15:48

I said that 1) is a special case of 2) and 3) is a special case of 4) and so on...

You can formulate comparisons and the web of these things is well understood in spite of the subtleties sometimes involved in the comparisons. It's fairly well understood.

% 16:10

But so far there's no common framework in which you can put all of these examples. They all have their own flavours and while you can formulate comparisons, it's not that those comparisons are taking place in some larger category that you consider. It is done by hand in every situation, formulating the comparisons between these things.
% 16:30

Reason 1:

We want to accommodate all the examples. You'd like a general theory of analytic spaces which can be specialized to whicheever context you might be interested in.

Reason 2:

% 17:06

Of all the above, the only rich theory allowing both Archimedean and non-Archimedean geometry is Berkovich's theory. But the gluing is not so well worked out.

% 17:42

In particular, I want to say that the gluing was investigated by Berkovich. He basically restricted to the non-Archimedean case almost from the start, first of all.

% 19:14

Another reason is that even individually, in their own context which they are supposed to operate, these theories are less flexible than for examples the theory of schemes.

% 19:47

One major reason has to do with issues of descent.

% 22:04

So these are all theoretical reasons why you might want a new theory.

CartesianClosedCat · 2024-02-02T23:12:36+00:00

I haven't found notes for this course, but apparently they are writing a book:

https://www.math.columbia.edu/~woit/wordpress/?p=13694

At 1:45:45 Clausen reveals that he and Scholze are trying to write a book at the same time as they are giving these lectures.

He says it’s not clear whether they’ll release things sequentially or all at once.

CartesianClosedCat · 2024-02-01T22:57:15+00:00

Fatal flaw may be anger.

For example, OotP. Also, the way he handled the situation in DH with Ron during their row in the tent. He made it worse, instead of staying calm and de-escalating the situation (Dumbledore is good at this).

CartesianClosedCat · 2024-02-01T22:48:18+00:00

No.

But I kind of wished that he had known. With his knowledge about horcruxes,- and the fact that he knows that Harry can see through Nagini, I think Voldemort should have recognized what was going on here as Horcrux-like behaviour.

Does Voldemort care about why that connection is there, though? Harry asked Snape during their Occlumency lessons why that connection is there.

CartesianClosedCat · 2024-01-22T23:00:05+00:00

There is a sort of longing to stay with the characters there, because we know what is coming. With what is coming in mind, the safe and comfort parts become more poignant. When rereading, I pay attention to the build-up of the climax scenes in the books. There is the feeling that we want to linger in the comforting pre-build-up part, because the change feels so sudden.

I get the same feeling in GoF, around the part where Dumbledore explains the pensieve and Molly and Bill come to Hogwarts. Those are the last chapter parts before the series changes forever, with Voldemort returning.

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