(Real) Lagrangian submanifolds (Felix Slenk, UniNe)

25.11.2019 16:30

We start with describing how Lagrangian submanifolds of symplectic manifolds naturally appear in many ways: In celestial mechanics, integrable systems, symplectic geometry, and algebraic geometry.
We then look at real Lagrangians, namely those which are the fixed point set of an anti-symplectic involution. How special is the property of being real?
While many of the examples discussed above are real, we explain why the central fibres in toric symplectic manifolds are real only if the moment polytopeis centrally symmetric.
The talk is based on work of and with Joé Brendel, Yuri Chekanov, and Joontae Kim.

Lieu

Bâtiment: Battelle

Villa Battelle, Séminaire "Fables géométriques"

entrée libre