Speaker: Karim Boustany (Notre Dame)
Title: Packing Lagrangian Tori in Toric Del Pezzo Surfaces
Abstract: An \emph{integral} Lagrangian torus in a symplectic manifold is one whose relative area homomorphism is integer-valued, and in this context one can study the \emph{packing problem}. By definition, this means trying to find a disjoint collection $\{L_{i}\}$ of integral Lagrangian tori with the following property: any other integral Lagrangian torus not in this collection must intersect at least one of the $L_{i}$. Recently, R. Hind and E. Kerman studied the packing problem in $\SS^{2} \times \SS^{2}$, showing that one can find a packing by the Clifford torus. We discuss recent progress towards extending this result to other Del Pezzo surfaces.
