# Tropical hypersurfaces

 Mathematical Conversations Topic: Tropical hypersurfaces Speaker: Nicholas Sheridan Affiliation: Princeton University; Veblen Research Instructor, School of Mathematics Date: Wednesday, October 22 Time/Room: 6:00pm - 7:00pm/Dilworth Room

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).