Yang-Hui He

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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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Theories of Everything with Curt Jaimungal · Yang-Hui He: Why AI Will Permanently Transform How Math Is Done · 3 Jan 2025 podcast

sorry, sorry, I meant negative curvature.

Negative curvature.

Yeah.

Everything here has negative curvature.

Got it.

Yeah.

So now in the world of complex algebra geometry, these positive curvature things are called fano varieties, after this Italian guy fano.

The these negative curvature objects which proliferate are called varieties of general type.

And this boundary case are called zero zero curvature objects.

And it just so happens we now call things in the middle claviat.

There's zero curvature objects.

So far this got nothing to do with physics.

I mean it's just it's just the fact of topology, right?

But this is such a beautiful diagram that you know took from 1736 until Riemann, Riemann what died in in the 1860s, I think, or something like that.

So it took, you know, hundred, 120 years to really formulate just this table.

to relate metro topol metric geometry to topology to to to algebraic geometry is kind of beautiful thing, right?

So to generalize this

table is the central piece of what's what's now called the minimal model program in algebraic geometry, for which there have been all this fields metalists, you know, Birkar a couple of years ago.

And then you started with Mori, who got the Fields Medal, and then this whole Mukai and this whole distinct distinguished idea.

So um basically this minimal model program is to just just generalize this to higher dimension.

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