Toric constructions of monotone Lagrangian submanifolds in CP^2 and CP^1 x CP^1
 
 
Description:  In a previous paper, I proved that two very different constructions of monotone Lagrangian tori are Hamiltonian isotopic inside $\mathbb{CP}^2$ by comparing both of them to a third one called modified Chekanov torus. This modified Chekanov torus has an interesting projection under the standard moment map of $\mathbb{CP}^2$ and motivates a method of construction of (monotone) Lagrangian submanifolds in symplectic toric manifolds. I will explain how this method gives some old and new monotone examples in $\mathbb{CP}^2$ and $\mathbb{CP}^1 \times \mathbb{CP}^1$.
This is joint work with Miguel Abreu (IST, Lisbon).
Date:  2016-01-27
Start Time:   14:30
Speaker:  Agnès Gadbled (Univ. Porto)
Institution:  Center of Mathematics of the University of Porto
Place:  Sala 5.5
Research Groups: -Geometry
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