Yang-Hui He
speaker
1,500 appearances
1 recordings
1 series
first heard Jan 2025
last heard Jan 2025
Yang-Hui He’s voice in public audio — every appearance, attributed to the second.
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Appearances
Then you have something you can purely play with in this platonic world.
And string theory is really just the brainchild of this translation, this tradition of what's on the left and what's on the right.
And let's see what we can do.
And sometimes you you make progress on.
Left.
you give insight of stuff on the right and sometimes you make progress on the right and you give insight on the left.
I think that's oh well I I yeah, I mean I they're they're interlinked.
And I think algebraic maybe I think maybe it's because of Atiya and Hitchin.
Uh of course
you can you they you they go either way.
But um algebraic in the sense that you can um think of you you you can you can often work on uh work with bundles and connections without actually doing the integral in differential geometry.
So I think that's the part I want to emphasize.
You know, you you can you can cons you can understand bundles purely as algebraic objects.
uh without ever doing an integral.
You know, like like here.
Like like like here, for example.
Like this integral is obviously something you would do in differential geometry.
But this integral, the fact that it comes to to to be an integer, was explained through the theory of churn classes.
To be an in you know, to be you know, this integral is a pairing between the churn class, you know between homology and co-homology, which is a purely algebraic thing.
You know, we all try to avoid doing integrals because integrals are horrible because it's hard to do.
Showing 1141–1160 of 1,500 · page 58 of 75
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