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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Uh i in the same way that you can go from one form to two forms, you can go from vector fields to two uh fields, and this is a good way to work with uh Poisson vector fields.
That's the standard, it's a notational thing.
But if you don't like the notation, it's okay.
Just think that a Poisson manifold is a product locally.
locally of a symplectic manifold and a Poisson manifold that vanishes at the origin, and in the case uh this Poisson manifold is linearizable, then the theorem of Alan Weinstein tells you
That all the examples are a combination of example one and two.
Right?
But instead of having one example, do you have a specific Li algebra, the one of rotations on the the the the tangent to rotations, right?
Maybe you have other kinds of Li algebras uh or Li groups.
It could be all kind of Li algebras and Li groups.
And indeed, uh that's a magic theorem that was proved in nineteen eighty three.
It looks like uh okay.
Okay.
uh you see, okay, what happens then to Poisson geometry, to people working on Poisson manifolds?
How many things have been proved?
Many, many things, but it's much more complicated and symplectic, right?
So in a way it's it's tricky.
Okay.
Now l why I'm so obsessed by Poisson brackets, because of course we want to go from Poisson brackets to commutators, but I want to you know, you ask me a question, I want to reply that question.
You told me okay, in this choice of functions that do not satisfy this good property of Dirac.
Showing 681–700 of 1,609 · page 35 of 81
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