Symplectic origami: folding and unfolding symplectic manifolds

Event details
Date | 14.05.2012 |
Hour | 14:15 › 15:00 |
Speaker | Prof. Ana Cannas da Silva (ETH Zurich) |
Location |
MA A1 12
|
Category | Conferences - Seminars |
Abstract
Origami manifolds are manifolds equipped with a closed 2-form
which is symplectic except on a hypersurface where the form
is like the pullback of a symplectic form by a folding map
and the kernel of the form defines a circle fibration.
We can move back and forth between (folded) origami manifolds
and (unfolded) symplectic cut manifolds using radial blow-up
(folding) and cutting (unfolding). I will explain an origami convexity
theorem and the classification of origami toric manifolds (by
polyhedral images resembling paper origami) - these results
are joint work with V. Guillemin and A. R. Pires.
Origami manifolds are manifolds equipped with a closed 2-form
which is symplectic except on a hypersurface where the form
is like the pullback of a symplectic form by a folding map
and the kernel of the form defines a circle fibration.
We can move back and forth between (folded) origami manifolds
and (unfolded) symplectic cut manifolds using radial blow-up
(folding) and cutting (unfolding). I will explain an origami convexity
theorem and the classification of origami toric manifolds (by
polyhedral images resembling paper origami) - these results
are joint work with V. Guillemin and A. R. Pires.
Practical information
- General public
- Free
- This event is internal
Organizer
- Silvia Sabatini