Edward Frenkel

speaker

2,304 appearances 1 recordings 1 series first heard Apr 2023 last heard Apr 2023

Edward Frenkel’s voice in public audio — every appearance, attributed to the second.

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I cannot see, by the way, what you have.

But I can guess some of them.

So I'm going to try to do something different from him.

So I already mentioned one, which is that you have one-dimensional...

numerical system, which is real numbers.

You have two-dimensional, which is complex numbers.

You have four-dimensional.

It's probably connected to what he wrote because it has to do with some homotopic groups of spheres and stuff like that.

Then, of course, one I love.

One plus two plus three plus four plus five plus six and so on.

Does it make any sense, the sum?

You probably heard about this one.

It became very popular at some point.

One plus two plus three, I did a video for Numberphile, the YouTube channel about it, maybe 10 years ago.

So one plus two plus three plus four plus five ostensibly diverges, goes to infinity, because you get a bigger and bigger number.

And yet there is a way to make sense of it, in which it comes up to minus one over 12.

How fascinating.

First of all, the answer is not even a positive number and it's not an integer.

It's not a whole number.

It's minus one over 12.

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