| Abstract: |
| In this talk we will give a sheaf-like presentation of an (integral) affine structure. In that framework, one can give a notion of intrinsic convexity.
The celebrated theorem of Action-Angle coordinates by Liouville-Arnold-Mineur gives as a byproduct the existence of an integral affine structure on the base space of the associated Lagrangian fibration. We will discuss local and global convexity properties for some integrable systems, and present examples and counter-examples. |
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