Mathematical Conversations

I'll explain a nice way of visualizing the topology of a smooth complex hypersurface in \((\mathbb{C}^*)^n\), by decomposing it into `generalized pairs of pants'. Then I'll explain some useful symplectic constructions arising from this picture, by introducing the `coamoeba' of the pair of pants (a.k.a. the tropical underpants) and its `Lagrangian skeleton' (a.k.a. the tropical thong).