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
This is dimension complex dimension one, right?
How do you do it?
It's very hard.
And once you have it, I won't bore you with the details.
This is very nice, you know, this there's topology, algebraic geometry, differential geometry, index term, they all get unified in this in this very beautiful
Way.
And you wanna obviously you want to generalize this to to arbitrary dimension, arbitrary complex dimension.
It'd be nice.
And we it's still an open problem.
Uh how do you do it in in general?
It's it's it's a very nice problem.
But at least for a class of complex manifold known as Khler manifolds.
I won't bore you with the details, but Khler manifolds on which where the metric has very nice behavior.
There's a potential for which you can have a double derivative that gets on the metric.
And then it was conjectured in by Calabi in the fifties.
Again, you know, fifties four, fifty-six, fifty-seven.
It was a great year, right?
That's all this
different ideas, I mean, in three completely different worlds, now come together because mathematical physicists have kind of tidied up, you know, the world of neural networks, the world of Klabby conjecture, the world of string theory to one.
I I like you know when when things get bridged up in this way, you know.
Showing 921–940 of 1,500 · page 47 of 75
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