Eva Miranda

speaker

1,609 appearances 1 recordings 1 series first heard Jan 2025 last heard Jan 2025

Eva Miranda’s voice in public audio — every appearance, attributed to the second.

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Theories of Everything with Curt Jaimungal · Eva Miranda: The Mathematical Bridge Between Classical and Quantum · 26 Jan 2025 podcast

So the image is always a polytope.

And Atilla, that's fantastic what you are saying.

At proved the convexity theorem.

We very good.

Atilla proved that if you have a torus, here I'm considering toric action.

This means I have an action of a torus, but it's half the dimension of the manifold.

If the action of the torus maybe its lower dimension,

Then I I have a torus a torus actions, but I don't call it toric.

For torus actions, Attilla proved that the image is convex.

That's the theorem you are mentioned.

Okay.

And Gilem in Stenberg also proved it.

Okay, this is called many times the Tila Gilman-Stenberg convexity theorem.

And this would be, if you want, a particular case, when the the when the rank is maximal, not only is com uh it's a convex the image, but the image is a polyto.

So these links this very complicated geometry

to the geometry of polytopes and linear algebra if you want linear geometry.

So you could play linear geometry and things you do to these polytopes have an interpretation on the original simple.

And this is a beautiful, beautiful uh beautiful we can we can maybe use these polytopes to quantize.

What do you think?

Let's do it.

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