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Description: |
In mechanics there are many Hamiltonian systems which admit more integrals of motion (with suitable properties) than degrees of freedom (e.g. the Euler top). These systems are known as superintegrable or non-commutatively integrable and have been studied extensively since the pioneering work of Nekhoroshev, Mischenko and Fomenko. In this talk, we will give an overview of how to classify (topologically and symplectically) and how to construct (in some sense) these systems using integral affine geometry, which studies manifolds equipped with an atlas whose changes of coordinates are affine transformations of Euclidean space whose linear part is invertible over the integers. Time permitting, we shall illustrate how these questions relate to some problems in Poisson geometry.
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Date: |
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| Start Time: |
15:30 |
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Speaker: |
Daniele Sepe (IST, Lisboa)
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Institution: |
Instituto Superior Tecnico - Lisboa
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Place: |
Sala 5.5
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| Research Groups: |
-Geometry
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See more:
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